253658496 has 384 divisors, whose sum is σ = 908379360. Its totient is φ = 61931520.

The previous prime is 253658473. The next prime is 253658501. The reversal of 253658496 is 694856352.

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 (48).

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, 4158306 + ... + 4158366.

Almost surely, 2^253658496 is an apocalyptic number.

253658496 is a gapful number since it is divisible by the number (26) 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 253658496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454189680).

253658496 is an abundant number, since it is smaller than the sum of its proper divisors (654720864).

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

253658496 is a wasteful number, since it uses less digits than its factorization.

253658496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 253658496 is about 15926.6599134910. The cubic root of 253658496 is about 633.0185999142.

The spelling of 253658496 in words is "two hundred fifty-three million, six hundred fifty-eight thousand, four hundred ninety-six".