1480632400 has 60 divisors (see below), whose sum is σ = 3830865052. Its totient is φ = 546693120.

The previous prime is 1480632379. The next prime is 1480632401. The reversal of 1480632400 is 42360841.

It can be written as a sum of positive squares in 6 ways, for example, as 46949904 + 1433682496 = 6852^2 + 37864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480632401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137169 + ... + 147568.

Almost surely, 2^1480632400 is an apocalyptic number.

1480632400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1480632400 is an abundant number, since it is smaller than the sum of its proper divisors (2350232652).

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

1480632400 is a wasteful number, since it uses less digits than its factorization.

1480632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284768 (or 284757 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1480632400 is about 38478.9864731388. The cubic root of 1480632400 is about 1139.7661364947.

The spelling of 1480632400 in words is "one billion, four hundred eighty million, six hundred thirty-two thousand, four hundred".