480157000 has 32 divisors (see below), whose sum is σ = 1123569720. Its totient is φ = 192062400.

The previous prime is 480156997. The next prime is 480157003. The reversal of 480157000 is 751084.

It is an interprime number because it is at equal distance from previous prime (480156997) and next prime (480157003).

It can be written as a sum of positive squares in 4 ways, for example, as 165945924 + 314211076 = 12882^2 + 17726^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (480157003) 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, 239079 + ... + 241078.

Almost surely, 2^480157000 is an apocalyptic number.

480157000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480157000 is an abundant number, since it is smaller than the sum of its proper divisors (643412720).

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

480157000 is a wasteful number, since it uses less digits than its factorization.

480157000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480178 (or 480164 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 480157000 is about 21912.4850256652. The cubic root of 480157000 is about 783.0588847921.

The spelling of 480157000 in words is "four hundred eighty million, one hundred fifty-seven thousand".