464721408 has 80 divisors (see below), whose sum is σ = 1375648560. Its totient is φ = 154902528.

The previous prime is 464721373. The next prime is 464721409. The reversal of 464721408 is 804127464.

464721408 is a `hidden beast` number, since 4 + 647 + 2 + 1 + 4 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464721409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2985 + ... + 30632.

It is an arithmetic number, because the mean of its divisors is an integer number (17195607).

Almost surely, 2^464721408 is an apocalyptic number.

464721408 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 464721408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687824280).

464721408 is an abundant number, since it is smaller than the sum of its proper divisors (910927152).

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

464721408 is an equidigital number, since it uses as much as digits as its factorization.

464721408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33644 (or 33622 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 464721408 is about 21557.3979876979. The cubic root of 464721408 is about 774.5763389607.

The spelling of 464721408 in words is "four hundred sixty-four million, seven hundred twenty-one thousand, four hundred eight".