253887480 has 512 divisors, whose sum is σ = 1094860800. Its totient is φ = 50803200.

The previous prime is 253887449. The next prime is 253887497. The reversal of 253887480 is 84788352.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3575845 + ... + 3575915.

It is an arithmetic number, because the mean of its divisors is an integer number (2138400).

Almost surely, 2^253887480 is an apocalyptic number.

253887480 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 253887480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547430400).

253887480 is an abundant number, since it is smaller than the sum of its proper divisors (840973320).

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

253887480 is a wasteful number, since it uses less digits than its factorization.

253887480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 253887480 is about 15933.8469931150. The cubic root of 253887480 is about 633.2090233091.

The spelling of 253887480 in words is "two hundred fifty-three million, eight hundred eighty-seven thousand, four hundred eighty".