464613408 has 240 divisors, whose sum is σ = 1617295680. Its totient is φ = 128024064.

The previous prime is 464613319. The next prime is 464613419. The reversal of 464613408 is 804316464.

464613408 is a `hidden beast` number, since 4 + 646 + 1 + 3 + 4 + 0 + 8 = 666.

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 39 ways as a sum of consecutive naturals, for example, 525735 + ... + 526617.

It is an arithmetic number, because the mean of its divisors is an integer number (6738732).

Almost surely, 2^464613408 is an apocalyptic number.

464613408 is a gapful number since it is divisible by the number (48) 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 464613408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808647840).

464613408 is an abundant number, since it is smaller than the sum of its proper divisors (1152682272).

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

464613408 is a wasteful number, since it uses less digits than its factorization.

464613408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 464613408 is about 21554.8929016128. The cubic root of 464613408 is about 774.5163311623.

The spelling of 464613408 in words is "four hundred sixty-four million, six hundred thirteen thousand, four hundred eight".