1115462400 has 432 divisors, whose sum is σ = 4098383520. Its totient is φ = 265420800.

The previous prime is 1115462389. The next prime is 1115462417. The reversal of 1115462400 is 42645111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 10233546 + ... + 10233654.

Almost surely, 2^1115462400 is an apocalyptic number.

1115462400 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 1115462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049191760).

1115462400 is an abundant number, since it is smaller than the sum of its proper divisors (2982921120).

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

1115462400 is a wasteful number, since it uses less digits than its factorization.

1115462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1115462400 is about 33398.5388901970. The cubic root of 1115462400 is about 1037.0944541654.

The spelling of 1115462400 in words is "one billion, one hundred fifteen million, four hundred sixty-two thousand, four hundred".