467970720 has 384 divisors, whose sum is σ = 1788272640. Its totient is φ = 100638720.

The previous prime is 467970691. The next prime is 467970721. The reversal of 467970720 is 27079764.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (467970721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5923641 + ... + 5923719.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2^467970720 is an apocalyptic number.

467970720 is a gapful number since it is divisible by the number (40) 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 467970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894136320).

467970720 is an abundant number, since it is smaller than the sum of its proper divisors (1320301920).

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

467970720 is a wasteful number, since it uses less digits than its factorization.

467970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 467970720 is about 21632.6309079594. The cubic root of 467970720 is about 776.3774158715.

The spelling of 467970720 in words is "four hundred sixty-seven million, nine hundred seventy thousand, seven hundred twenty".