234257400 has 384 divisors, whose sum is σ = 899942400. Its totient is φ = 55641600.

The previous prime is 234257381. The next prime is 234257407. The reversal of 234257400 is 4752432.

234257400 is a `hidden beast` number, since 2 + 3 + 4 + 257 + 400 = 666.

234257400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×234257400³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234257407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3299365 + ... + 3299435.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^234257400 is an apocalyptic number.

234257400 is a gapful number since it is divisible by the number (20) 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 234257400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

234257400 is an abundant number, since it is smaller than the sum of its proper divisors (665685000).

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

234257400 is a wasteful number, since it uses less digits than its factorization.

234257400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 234257400 is about 15305.4696105673. The cubic root of 234257400 is about 616.4498807830.

The spelling of 234257400 in words is "two hundred thirty-four million, two hundred fifty-seven thousand, four hundred".