153464256 has 168 divisors, whose sum is σ = 489990384. Its totient is φ = 45527040.

The previous prime is 153464239. The next prime is 153464263. The reversal of 153464256 is 652464351.

153464256 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 642 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 153464256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335580 + ... + 336036.

Almost surely, 2^153464256 is an apocalyptic number.

153464256 is a gapful number since it is divisible by the number (16) 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 153464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244995192).

153464256 is an abundant number, since it is smaller than the sum of its proper divisors (336526128).

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

153464256 is a wasteful number, since it uses less digits than its factorization.

153464256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 526 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 153464256 is about 12388.0690989355. The cubic root of 153464256 is about 535.3885505366.

The spelling of 153464256 in words is "one hundred fifty-three million, four hundred sixty-four thousand, two hundred fifty-six".