461262000 has 160 divisors (see below), whose sum is σ = 1513474560. Its totient is φ = 120825600.

The previous prime is 461261981. The next prime is 461262041. The reversal of 461262000 is 262164.

It is a happy number.

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, 353349 + ... + 354651.

It is an arithmetic number, because the mean of its divisors is an integer number (9459216).

Almost surely, 2^461262000 is an apocalyptic number.

461262000 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 461262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756737280).

461262000 is an abundant number, since it is smaller than the sum of its proper divisors (1052212560).

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

461262000 is a wasteful number, since it uses less digits than its factorization.

461262000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 461262000 is about 21477.0109652158. The cubic root of 461262000 is about 772.6495557783.

The spelling of 461262000 in words is "four hundred sixty-one million, two hundred sixty-two thousand".