464264220 has 192 divisors, whose sum is σ = 1606348800. Its totient is φ = 99800064.

The previous prime is 464264209. The next prime is 464264257. The reversal of 464264220 is 22462464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349197 + ... + 350523.

It is an arithmetic number, because the mean of its divisors is an integer number (8366400).

Almost surely, 2^464264220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464264220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803174400).

464264220 is an abundant number, since it is smaller than the sum of its proper divisors (1142084580).

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

464264220 is a wasteful number, since it uses less digits than its factorization.

464264220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 464264220 is about 21546.7914084673. The cubic root of 464264220 is about 774.3222489522.

The spelling of 464264220 in words is "four hundred sixty-four million, two hundred sixty-four thousand, two hundred twenty".