534374400 has 432 divisors, whose sum is σ = 2083929120. Its totient is φ = 120422400.

The previous prime is 534374377. The next prime is 534374417. The reversal of 534374400 is 4473435.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7526365 + ... + 7526435.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2^534374400 is an apocalyptic number.

534374400 is a gapful number since it is divisible by the number (50) 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 534374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041964560).

534374400 is an abundant number, since it is smaller than the sum of its proper divisors (1549554720).

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

534374400 is a wasteful number, since it uses less digits than its factorization.

534374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 534374400 is about 23116.5395334163. The cubic root of 534374400 is about 811.4875879275.

The spelling of 534374400 in words is "five hundred thirty-four million, three hundred seventy-four thousand, four hundred".