400455975360 has 448 divisors, whose sum is σ = 1491335193600. Its totient is φ = 89148653568.

The previous prime is 400455975289. The next prime is 400455975397. The reversal of 400455975360 is 63579554004.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49502196 + ... + 49510284.

It is an arithmetic number, because the mean of its divisors is an integer number (3328873200).

Almost surely, 2^400455975360 is an apocalyptic number.

400455975360 is a gapful number since it is divisible by the number (40) 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 400455975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745667596800).

400455975360 is an abundant number, since it is smaller than the sum of its proper divisors (1090879218240).

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

400455975360 is a wasteful number, since it uses less digits than its factorization.

400455975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8308 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 400455975360 in words is "four hundred billion, four hundred fifty-five million, nine hundred seventy-five thousand, three hundred sixty".