467460000 has 540 divisors, whose sum is σ = 1968808842. Its totient is φ = 104832000.

The previous prime is 467459977. The next prime is 467460031. The reversal of 467460000 is 64764.

It can be written as a sum of positive squares in 5 ways, for example, as 22924944 + 444535056 = 4788^2 + 21084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8819974 + ... + 8820026.

Almost surely, 2^467460000 is an apocalyptic number.

467460000 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 467460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984404421).

467460000 is an abundant number, since it is smaller than the sum of its proper divisors (1501348842).

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

467460000 is a wasteful number, since it uses less digits than its factorization.

467460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 467460000 is about 21620.8232960727. The cubic root of 467460000 is about 776.0948798148.

The spelling of 467460000 in words is "four hundred sixty-seven million, four hundred sixty thousand".