256437350400 has 1248 divisors, whose sum is σ = 1089333278208. Its totient is φ = 51668582400.

The previous prime is 256437350399. The next prime is 256437350401. The reversal of 256437350400 is 4053734652.

It is an interprime number because it is at equal distance from previous prime (256437350399) and next prime (256437350401).

It is a super-2 number, since 2×256437350400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256437350401) 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, 875212654 + ... + 875212946.

Almost surely, 2^256437350400 is an apocalyptic number.

256437350400 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 256437350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544666639104).

256437350400 is an abundant number, since it is smaller than the sum of its proper divisors (832895927808).

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

256437350400 is a wasteful number, since it uses less digits than its factorization.

256437350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The spelling of 256437350400 in words is "two hundred fifty-six billion, four hundred thirty-seven million, three hundred fifty thousand, four hundred".