467298720 has 576 divisors, whose sum is σ = 2020951296. Its totient is φ = 99532800.

The previous prime is 467298707. The next prime is 467298757. The reversal of 467298720 is 27892764.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4626670 + ... + 4626770.

It is an arithmetic number, because the mean of its divisors is an integer number (3508596).

Almost surely, 2^467298720 is an apocalyptic number.

467298720 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 467298720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010475648).

467298720 is an abundant number, since it is smaller than the sum of its proper divisors (1553652576).

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

467298720 is a wasteful number, since it uses less digits than its factorization.

467298720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 467298720 is about 21617.0932366033. The cubic root of 467298720 is about 776.0056151505.

The spelling of 467298720 in words is "four hundred sixty-seven million, two hundred ninety-eight thousand, seven hundred twenty".