534350400 has 84 divisors (see below), whose sum is σ = 1753130352. Its totient is φ = 142492160.

The previous prime is 534350387. The next prime is 534350413. The reversal of 534350400 is 4053435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (534350387) and next prime (534350413).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50862 + ... + 60461.

Almost surely, 2^534350400 is an apocalyptic number.

534350400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

534350400 is an abundant number, since it is smaller than the sum of its proper divisors (1218779952).

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

534350400 is a wasteful number, since it uses less digits than its factorization.

534350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111348 (or 111333 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 534350400 is about 23116.0204187486. The cubic root of 534350400 is about 811.4754391459.

The spelling of 534350400 in words is "five hundred thirty-four million, three hundred fifty thousand, four hundred".