464673600 has 378 divisors, whose sum is σ = 1754791766. Its totient is φ = 116582400.

The previous prime is 464673581. The next prime is 464673613. The reversal of 464673600 is 6376464.

464673600 is a `hidden beast` number, since 4 + 6 + 46 + 7 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1218816 + 463454784 = 1104^2 + 21528^2 .

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 53 ways as a sum of consecutive naturals, for example, 7617570 + ... + 7617630.

Almost surely, 2^464673600 is an apocalyptic number.

464673600 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 464673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877395883).

464673600 is an abundant number, since it is smaller than the sum of its proper divisors (1290118166).

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

464673600 is a wasteful number, since it uses less digits than its factorization.

464673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 464673600 is about 21556.2891055024. The cubic root of 464673600 is about 774.5497766556.

The spelling of 464673600 in words is "four hundred sixty-four million, six hundred seventy-three thousand, six hundred".