1154390400 has 384 divisors, whose sum is σ = 4371148800. Its totient is φ = 297216000.

The previous prime is 1154390399. The next prime is 1154390411. The reversal of 1154390400 is 40934511.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1154390400² = 2665234391224320000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2678185 + ... + 2678615.

It is an arithmetic number, because the mean of its divisors is an integer number (11383200).

Almost surely, 2^1154390400 is an apocalyptic number.

1154390400 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 1154390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185574400).

1154390400 is an abundant number, since it is smaller than the sum of its proper divisors (3216758400).

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

1154390400 is a wasteful number, since it uses less digits than its factorization.

1154390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1154390400 is about 33976.3211663653. The cubic root of 1154390400 is about 1049.0211285386.

The spelling of 1154390400 in words is "one billion, one hundred fifty-four million, three hundred ninety thousand, four hundred".