481429120 has 64 divisors (see below), whose sum is σ = 1218645000. Its totient is φ = 181239808.

The previous prime is 481429073. The next prime is 481429121. The reversal of 481429120 is 21924184.

It can be written as a sum of positive squares in 4 ways, for example, as 304432704 + 176996416 = 17448^2 + 13304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (481429121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11245 + ... + 33004.

Almost surely, 2^481429120 is an apocalyptic number.

481429120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481429120 is an abundant number, since it is smaller than the sum of its proper divisors (737215880).

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

481429120 is a wasteful number, since it uses less digits than its factorization.

481429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44285 (or 44273 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 481429120 is about 21941.4931123659. The cubic root of 481429120 is about 783.7498160485.

The spelling of 481429120 in words is "four hundred eighty-one million, four hundred twenty-nine thousand, one hundred twenty".