249280646472 has 768 divisors, whose sum is σ = 849429504000. Its totient is φ = 67251824640.

The previous prime is 249280646413. The next prime is 249280646507. The reversal of 249280646472 is 274646082942.

It is a happy number.

249280646472 is a `hidden beast` number, since 2 + 4 + 92 + 80 + 6 + 4 + 6 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1962839673 + ... + 1962839799.

It is an arithmetic number, because the mean of its divisors is an integer number (1106028000).

Almost surely, 2^249280646472 is an apocalyptic number.

249280646472 is a gapful number since it is divisible by the number (22) 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 249280646472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424714752000).

249280646472 is an abundant number, since it is smaller than the sum of its proper divisors (600148857528).

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

249280646472 is a wasteful number, since it uses less digits than its factorization.

249280646472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 249280646472 in words is "two hundred forty-nine billion, two hundred eighty million, six hundred forty-six thousand, four hundred seventy-two".