464420264 has 48 divisors (see below), whose sum is σ = 1093898400. Its totient is φ = 180940320.

The previous prime is 464420261. The next prime is 464420279. The reversal of 464420264 is 462024464.

It is a super-2 number, since 2×464420264² = 431372363227659392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 464420264.

It is not an unprimeable number, because it can be changed into a prime (464420261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27494 + ... + 41045.

It is an arithmetic number, because the mean of its divisors is an integer number (22789550).

Almost surely, 2^464420264 is an apocalyptic number.

464420264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464420264 is an abundant number, since it is smaller than the sum of its proper divisors (629478136).

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

464420264 is a wasteful number, since it uses less digits than its factorization.

464420264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68574 (or 68559 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 464420264 is about 21550.4121538313. The cubic root of 464420264 is about 774.4089918033.

The spelling of 464420264 in words is "four hundred sixty-four million, four hundred twenty thousand, two hundred sixty-four".