247438464 has 256 divisors, whose sum is σ = 828468480. Its totient is φ = 63700992.

The previous prime is 247438453. The next prime is 247438481. The reversal of 247438464 is 464834742.

It is a happy number.

It is a super-2 number, since 2×247438464² = 122451586933358592, 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 Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2550864 + ... + 2550960.

It is an arithmetic number, because the mean of its divisors is an integer number (3236205).

Almost surely, 2^247438464 is an apocalyptic number.

247438464 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 247438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414234240).

247438464 is an abundant number, since it is smaller than the sum of its proper divisors (581030016).

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

247438464 is a wasteful number, since it uses less digits than its factorization.

247438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its digits is 516096, while the sum is 42.

The square root of 247438464 is about 15730.1768585099. The cubic root of 247438464 is about 627.8015790305.

The spelling of 247438464 in words is "two hundred forty-seven million, four hundred thirty-eight thousand, four hundred sixty-four".