454469400 has 384 divisors, whose sum is σ = 1953446400. Its totient is φ = 94348800.

The previous prime is 454469399. The next prime is 454469429. The reversal of 454469400 is 4964454.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415254 + ... + 416346.

It is an arithmetic number, because the mean of its divisors is an integer number (5087100).

Almost surely, 2^454469400 is an apocalyptic number.

454469400 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 454469400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976723200).

454469400 is an abundant number, since it is smaller than the sum of its proper divisors (1498977000).

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

454469400 is a wasteful number, since it uses less digits than its factorization.

454469400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 454469400 is about 21318.2879237522. The cubic root of 454469400 is about 768.8380743826.

The spelling of 454469400 in words is "four hundred fifty-four million, four hundred sixty-nine thousand, four hundred".