247749504 has 64 divisors (see below), whose sum is σ = 659748240. Its totient is φ = 82374656.

The previous prime is 247749473. The next prime is 247749527. The reversal of 247749504 is 405947742.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×247749504² = 122759633464492032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259492 + ... + 260444.

Almost surely, 2^247749504 is an apocalyptic number.

247749504 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 247749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329874120).

247749504 is an abundant number, since it is smaller than the sum of its proper divisors (411998736).

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

247749504 is an equidigital number, since it uses as much as digits as its factorization.

247749504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 247749504 is about 15740.0604827300. The cubic root of 247749504 is about 628.0645260757.

The spelling of 247749504 in words is "two hundred forty-seven million, seven hundred forty-nine thousand, five hundred four".