901434960 has 80 divisors (see below), whose sum is σ = 3104950080. Its totient is φ = 240382080.

The previous prime is 901434943. The next prime is 901434967. The reversal of 901434960 is 69434109.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×901434960² = 1625169974220403200, which contains 22 as substring.

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 (901434967) 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, 206506 + ... + 210825.

It is an arithmetic number, because the mean of its divisors is an integer number (38811876).

Almost surely, 2^901434960 is an apocalyptic number.

901434960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

901434960 is an abundant number, since it is smaller than the sum of its proper divisors (2203515120).

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

901434960 is a wasteful number, since it uses less digits than its factorization.

901434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417353 (or 417341 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 901434960 is about 30023.9064746745. The cubic root of 901434960 is about 966.0022375628.

The spelling of 901434960 in words is "nine hundred one million, four hundred thirty-four thousand, nine hundred sixty".