1353772400 has 30 divisors (see below), whose sum is σ = 3252439152. Its totient is φ = 541508800.

The previous prime is 1353772379. The next prime is 1353772411. The reversal of 1353772400 is 42773531.

It is a super-2 number, since 2×1353772400² = 3665399422003520000, which contains 22 as substring.

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, 1691816 + ... + 1692615.

Almost surely, 2^1353772400 is an apocalyptic number.

1353772400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353772400 is an abundant number, since it is smaller than the sum of its proper divisors (1898666752).

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

1353772400 is a wasteful number, since it uses less digits than its factorization.

1353772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384449 (or 3384438 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 1353772400 is about 36793.6461906129. The cubic root of 1353772400 is about 1106.2379470316.

The spelling of 1353772400 in words is "one billion, three hundred fifty-three million, seven hundred seventy-two thousand, four hundred".