1332520400 has 30 divisors (see below), whose sum is σ = 3201381222. Its totient is φ = 533008000.

The previous prime is 1332520393. The next prime is 1332520451. The reversal of 1332520400 is 40252331.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 461562256 + 870958144 = 21484^2 + 29512^2 .

It is a super-2 number, since 2×1332520400² = 3551221232832320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1665251 + ... + 1666050.

Almost surely, 2^1332520400 is an apocalyptic number.

1332520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332520400 is an abundant number, since it is smaller than the sum of its proper divisors (1868860822).

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

1332520400 is a wasteful number, since it uses less digits than its factorization.

1332520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331319 (or 3331308 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1332520400 is about 36503.7039216570. The cubic root of 1332520400 is about 1100.4186835950.

Adding to 1332520400 its reverse (40252331), we get a palindrome (1372772731).

The spelling of 1332520400 in words is "one billion, three hundred thirty-two million, five hundred twenty thousand, four hundred".