1225976400 has 360 divisors, whose sum is σ = 4709761056. Its totient is φ = 292838400.

The previous prime is 1225976393. The next prime is 1225976407. The reversal of 1225976400 is 46795221.

1225976400 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 9 + 7 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1225976393) and next prime (1225976407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225976407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3286614 + ... + 3286986.

Almost surely, 2^1225976400 is an apocalyptic number.

1225976400 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 1225976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354880528).

1225976400 is an abundant number, since it is smaller than the sum of its proper divisors (3483784656).

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

1225976400 is a wasteful number, since it uses less digits than its factorization.

1225976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1225976400 is about 35013.9457930694. The cubic root of 1225976400 is about 1070.2716869123.

The spelling of 1225976400 in words is "one billion, two hundred twenty-five million, nine hundred seventy-six thousand, four hundred".