534857400 has 576 divisors, whose sum is σ = 2381633280. Its totient is φ = 104140800.

The previous prime is 534857399. The next prime is 534857437. The reversal of 534857400 is 4758435.

534857400 is a `hidden beast` number, since 534 + 85 + 7 + 40 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 2356087 + ... + 2356313.

It is an arithmetic number, because the mean of its divisors is an integer number (4134780).

Almost surely, 2^534857400 is an apocalyptic number.

534857400 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 534857400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190816640).

534857400 is an abundant number, since it is smaller than the sum of its proper divisors (1846775880).

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

534857400 is a wasteful number, since it uses less digits than its factorization.

534857400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 534857400 is about 23126.9842391956. The cubic root of 534857400 is about 811.7320048727.

The spelling of 534857400 in words is "five hundred thirty-four million, eight hundred fifty-seven thousand, four hundred".