400461465600 has 1728 divisors, whose sum is σ = 1777554979200. Its totient is φ = 84085309440.

The previous prime is 400461465563. The next prime is 400461465601. The reversal of 400461465600 is 6564164004.

400461465600 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 6 + 1 + 46 + 5 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (400461465601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3673958346 + ... + 3673958454.

It is an arithmetic number, because the mean of its divisors is an integer number (1028677650).

Almost surely, 2^400461465600 is an apocalyptic number.

400461465600 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 400461465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888777489600).

400461465600 is an abundant number, since it is smaller than the sum of its proper divisors (1377093513600).

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

400461465600 is a wasteful number, since it uses less digits than its factorization.

400461465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 400461465600 in words is "four hundred billion, four hundred sixty-one million, four hundred sixty-five thousand, six hundred".