231428400 has 120 divisors (see below), whose sum is σ = 847279104. Its totient is φ = 52896000.

The previous prime is 231428389. The next prime is 231428411. The reversal of 231428400 is 4824132.

It is an interprime number because it is at equal distance from previous prime (231428389) and next prime (231428411).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×231428400⁴ (a number of 35 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5376 + ... + 22175.

Almost surely, 2^231428400 is an apocalyptic number.

231428400 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 231428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423639552).

231428400 is an abundant number, since it is smaller than the sum of its proper divisors (615850704).

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

231428400 is a wasteful number, since it uses less digits than its factorization.

231428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27579 (or 27568 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 231428400 is about 15212.7709507506. The cubic root of 231428400 is about 613.9583132616.

The spelling of 231428400 in words is "two hundred thirty-one million, four hundred twenty-eight thousand, four hundred".