256452480 has 384 divisors, whose sum is σ = 982406880. Its totient is φ = 63700992.

The previous prime is 256452457. The next prime is 256452503. The reversal of 256452480 is 84254652.

It is a happy number.

256452480 is a `hidden beast` number, since 2 + 5 + 645 + 2 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256452457) and next prime (256452503).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2643792 + ... + 2643888.

Almost surely, 2^256452480 is an apocalyptic number.

256452480 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 256452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491203440).

256452480 is an abundant number, since it is smaller than the sum of its proper divisors (725954400).

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

256452480 is an equidigital number, since it uses as much as digits as its factorization.

256452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 256452480 is about 16014.1337574032. The cubic root of 256452480 is about 635.3342981122.

The spelling of 256452480 in words is "two hundred fifty-six million, four hundred fifty-two thousand, four hundred eighty".