901464564 has 288 divisors, whose sum is σ = 2934392832. Its totient is φ = 211680000.

The previous prime is 901464547. The next prime is 901464583. The reversal of 901464564 is 465464109.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5969889 + ... + 5970039.

It is an arithmetic number, because the mean of its divisors is an integer number (10188864).

Almost surely, 2^901464564 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 901464564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467196416).

901464564 is an abundant number, since it is smaller than the sum of its proper divisors (2032928268).

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

901464564 is a wasteful number, since it uses less digits than its factorization.

901464564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 901464564 is about 30024.3994777581. The cubic root of 901464564 is about 966.0128122644.

The spelling of 901464564 in words is "nine hundred one million, four hundred sixty-four thousand, five hundred sixty-four".