464264440 has 64 divisors (see below), whose sum is σ = 1070755200. Its totient is φ = 181112448.

The previous prime is 464264399. The next prime is 464264447. The reversal of 464264440 is 44462464.

It is a junction number, because it is equal to n+sod(n) for n = 464264396 and 464264405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464264447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285951 + ... + 287569.

It is an arithmetic number, because the mean of its divisors is an integer number (16730550).

Almost surely, 2^464264440 is an apocalyptic number.

464264440 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 464264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535377600).

464264440 is an abundant number, since it is smaller than the sum of its proper divisors (606490760).

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

464264440 is a wasteful number, since it uses less digits than its factorization.

464264440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The square root of 464264440 is about 21546.7965136352. The cubic root of 464264440 is about 774.3223712611.

The spelling of 464264440 in words is "four hundred sixty-four million, two hundred sixty-four thousand, four hundred forty".