249873464400 has 240 divisors, whose sum is σ = 936050041344. Its totient is φ = 55785623040.

The previous prime is 249873464371. The next prime is 249873464417. The reversal of 249873464400 is 4464378942.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×249873464400² (a number of 24 digits) contains 22 as substring.

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, 15307 + ... + 707093.

Almost surely, 2^249873464400 is an apocalyptic number.

249873464400 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 249873464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468025020672).

249873464400 is an abundant number, since it is smaller than the sum of its proper divisors (686176576944).

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

249873464400 is a wasteful number, since it uses less digits than its factorization.

249873464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691858 (or 691847 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 249873464400 in words is "two hundred forty-nine billion, eight hundred seventy-three million, four hundred sixty-four thousand, four hundred".