8455910400 has 792 divisors, whose sum is σ = 35637451200. Its totient is φ = 1914716160.

The previous prime is 8455910399. The next prime is 8455910431. The reversal of 8455910400 is 40195548.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79027147 + ... + 79027253.

Almost surely, 2^8455910400 is an apocalyptic number.

8455910400 is a gapful number since it is divisible by the number (80) 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 8455910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818725600).

8455910400 is an abundant number, since it is smaller than the sum of its proper divisors (27181540800).

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

8455910400 is a wasteful number, since it uses less digits than its factorization.

8455910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8455910400 is about 91956.0242724749. The cubic root of 8455910400 is about 2037.2928335166.

The spelling of 8455910400 in words is "eight billion, four hundred fifty-five million, nine hundred ten thousand, four hundred".