253005984 has 192 divisors, whose sum is σ = 920263680. Its totient is φ = 65698560.

The previous prime is 253005967. The next prime is 253006001. The reversal of 253005984 is 489500352.

It is an interprime number because it is at equal distance from previous prime (253005967) and next prime (253006001).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64627 + ... + 68429.

It is an arithmetic number, because the mean of its divisors is an integer number (4793040).

Almost surely, 2^253005984 is an apocalyptic number.

253005984 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 253005984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460131840).

253005984 is an abundant number, since it is smaller than the sum of its proper divisors (667257696).

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

253005984 is a wasteful number, since it uses less digits than its factorization.

253005984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 253005984 is about 15906.1618249030. The cubic root of 253005984 is about 632.4753407354.

The spelling of 253005984 in words is "two hundred fifty-three million, five thousand, nine hundred eighty-four".