1453953600 has 504 divisors, whose sum is σ = 5763390048. Its totient is φ = 344678400.

The previous prime is 1453953593. The next prime is 1453953617. The reversal of 1453953600 is 63593541.

1453953600 is a `hidden beast` number, since 1 + 45 + 3 + 9 + 5 + 3 + 600 = 666.

It is a super-2 number, since 2×1453953600² = 4227962141905920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10612732 + ... + 10612868.

Almost surely, 2^1453953600 is an apocalyptic number.

1453953600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881695024).

1453953600 is an abundant number, since it is smaller than the sum of its proper divisors (4309436448).

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

1453953600 is a wasteful number, since it uses less digits than its factorization.

1453953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1453953600 is about 38130.7435017992. The cubic root of 1453953600 is about 1132.8789720392.

The spelling of 1453953600 in words is "one billion, four hundred fifty-three million, nine hundred fifty-three thousand, six hundred".