467247072 has 96 divisors (see below), whose sum is σ = 1278093600. Its totient is φ = 149280768.

The previous prime is 467247061. The next prime is 467247083. The reversal of 467247072 is 270742764.

It is an interprime number because it is at equal distance from previous prime (467247061) and next prime (467247083).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 467247072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436554 + ... + 437622.

It is an arithmetic number, because the mean of its divisors is an integer number (13313475).

Almost surely, 2^467247072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639046800).

467247072 is an abundant number, since it is smaller than the sum of its proper divisors (810846528).

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

467247072 is a wasteful number, since it uses less digits than its factorization.

467247072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 467247072 is about 21615.8985933965. The cubic root of 467247072 is about 775.9770248627.

The spelling of 467247072 in words is "four hundred sixty-seven million, two hundred forty-seven thousand, seventy-two".