454678400 has 96 divisors (see below), whose sum is σ = 1225401480. Its totient is φ = 165324800.

The previous prime is 454678369. The next prime is 454678409. The reversal of 454678400 is 4876454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454678409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28742 + ... + 41658.

Almost surely, 2^454678400 is an apocalyptic number.

454678400 is a gapful number since it is divisible by the number (40) 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 454678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612700740).

454678400 is an abundant number, since it is smaller than the sum of its proper divisors (770723080).

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

454678400 is a wasteful number, since it uses less digits than its factorization.

454678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12952 (or 12935 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 454678400 is about 21323.1892548934. The cubic root of 454678400 is about 768.9559132894.

The spelling of 454678400 in words is "four hundred fifty-four million, six hundred seventy-eight thousand, four hundred".