1453874400 has 576 divisors, whose sum is σ = 5962118400. Its totient is φ = 338688000.

The previous prime is 1453874399. The next prime is 1453874407. The reversal of 1453874400 is 44783541.

1453874400 is a `hidden beast` number, since 14 + 538 + 74 + 40 + 0 = 666.

It is a super-2 number, since 2×1453874400² = 4227501541950720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453874407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6890295 + ... + 6890505.

It is an arithmetic number, because the mean of its divisors is an integer number (10350900).

Almost surely, 2^1453874400 is an apocalyptic number.

1453874400 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 1453874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981059200).

1453874400 is an abundant number, since it is smaller than the sum of its proper divisors (4508244000).

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

1453874400 is a wasteful number, since it uses less digits than its factorization.

1453874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1453874400 is about 38129.7049555855. The cubic root of 1453874400 is about 1132.8584015423.

The spelling of 1453874400 in words is "one billion, four hundred fifty-three million, eight hundred seventy-four thousand, four hundred".