1480478400 has 126 divisors (see below), whose sum is σ = 5262020972. Its totient is φ = 394790400.

The previous prime is 1480478399. The next prime is 1480478401. The reversal of 1480478400 is 48740841.

It is a happy number.

1480478400 is a `hidden beast` number, since 148 + 0 + 478 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1480478399) and next prime (1480478401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1480478401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37006 + ... + 65805.

Almost surely, 2^1480478400 is an apocalyptic number.

1480478400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1480478400 is an abundant number, since it is smaller than the sum of its proper divisors (3781542572).

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

1480478400 is a wasteful number, since it uses less digits than its factorization.

1480478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102839 (or 102821 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1480478400 is about 38476.9853288950. The cubic root of 1480478400 is about 1139.7266195805.

The spelling of 1480478400 in words is "one billion, four hundred eighty million, four hundred seventy-eight thousand, four hundred".