1047254400 has 768 divisors, whose sum is σ = 4371148800. Its totient is φ = 243302400.

The previous prime is 1047254387. The next prime is 1047254413. The reversal of 1047254400 is 44527401.

1047254400 = T₄₇₉ + T₄₈₀ + ... + T₁₈₅₅.

1047254400 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 254 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1047254387) and next prime (1047254413).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-4 number, since 4×1047254400⁴ (a number of 37 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33782385 + ... + 33782415.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2^1047254400 is an apocalyptic number.

1047254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185574400).

1047254400 is an abundant number, since it is smaller than the sum of its proper divisors (3323894400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1047254400 is a wasteful number, since it uses less digits than its factorization.

1047254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1047254400 is about 32361.3102330545. The cubic root of 1047254400 is about 1015.5096730902.

The spelling of 1047254400 in words is "one billion, forty-seven million, two hundred fifty-four thousand, four hundred".