235224864 has 384 divisors, whose sum is σ = 870912000. Its totient is φ = 60217344.

The previous prime is 235224863. The next prime is 235224877. The reversal of 235224864 is 468422532.

235224864 is a `hidden beast` number, since 2 + 352 + 248 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (235224863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2642932 + ... + 2643020.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^235224864 is an apocalyptic number.

235224864 is a gapful number since it is divisible by the number (24) 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 235224864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

235224864 is an abundant number, since it is smaller than the sum of its proper divisors (635687136).

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

235224864 is a wasteful number, since it uses less digits than its factorization.

235224864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 235224864 is about 15337.0422181071. The cubic root of 235224864 is about 617.2973444814.

It can be divided in two parts, 235224 and 864, that multiplied together give a square (203233536 = 14256²).

The spelling of 235224864 in words is "two hundred thirty-five million, two hundred twenty-four thousand, eight hundred sixty-four".