454838400 has 288 divisors, whose sum is σ = 1720286100. Its totient is φ = 114032640.

The previous prime is 454838369. The next prime is 454838401. The reversal of 454838400 is 4838454.

It can be written as a sum of positive squares in 6 ways, for example, as 92621376 + 362217024 = 9624^2 + 19032^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×454838400² = 413755940229120000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (454838401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489136 + ... + 490064.

Almost surely, 2^454838400 is an apocalyptic number.

454838400 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 454838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860143050).

454838400 is an abundant number, since it is smaller than the sum of its proper divisors (1265447700).

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

454838400 is a wasteful number, since it uses less digits than its factorization.

454838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 454838400 is about 21326.9407088781. The cubic root of 454838400 is about 769.0461004908.

The spelling of 454838400 in words is "four hundred fifty-four million, eight hundred thirty-eight thousand, four hundred".