464273510400 has 1872 divisors, whose sum is σ = 2084183568000. Its totient is φ = 100824514560.

The previous prime is 464273510399. The next prime is 464273510413. The reversal of 464273510400 is 4015372464.

464273510400 is a `hidden beast` number, since 4 + 642 + 7 + 3 + 5 + 1 + 0 + 4 + 0 + 0 = 666.

It is a super-5 number, since 5×464273510400⁵ (a number of 60 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3115929526 + ... + 3115929674.

Almost surely, 2^464273510400 is an apocalyptic number.

464273510400 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 464273510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042091784000).

464273510400 is an abundant number, since it is smaller than the sum of its proper divisors (1619910057600).

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

464273510400 is a wasteful number, since it uses less digits than its factorization.

464273510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 464273510400 its reverse (4015372464), we get a palindrome (468288882864).

The spelling of 464273510400 in words is "four hundred sixty-four billion, two hundred seventy-three million, five hundred ten thousand, four hundred".