247964480 has 56 divisors (see below), whose sum is σ = 603065088. Its totient is φ = 97069568.

The previous prime is 247964467. The next prime is 247964503. The reversal of 247964480 is 84469742.

It is a super-2 number, since 2×247964480² = 122972766683340800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6797 + ... + 23283.

Almost surely, 2^247964480 is an apocalyptic number.

247964480 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 247964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301532544).

247964480 is an abundant number, since it is smaller than the sum of its proper divisors (355100608).

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

247964480 is a wasteful number, since it uses less digits than its factorization.

247964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16551 (or 16541 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 247964480 is about 15746.8879465118. The cubic root of 247964480 is about 628.2461339277.

The spelling of 247964480 in words is "two hundred forty-seven million, nine hundred sixty-four thousand, four hundred eighty".