436628920 has 64 divisors (see below), whose sum is σ = 1209136320. Its totient is φ = 138184704.

The previous prime is 436628917. The next prime is 436628939. The reversal of 436628920 is 29826634.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56337 + ... + 63616.

It is an arithmetic number, because the mean of its divisors is an integer number (18892755).

Almost surely, 2^436628920 is an apocalyptic number.

436628920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

436628920 is an abundant number, since it is smaller than the sum of its proper divisors (772507400).

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

436628920 is a wasteful number, since it uses less digits than its factorization.

436628920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119984 (or 119980 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 436628920 is about 20895.6674935260. The cubic root of 436628920 is about 758.6430773739.

The spelling of 436628920 in words is "four hundred thirty-six million, six hundred twenty-eight thousand, nine hundred twenty".