461407520 has 144 divisors (see below), whose sum is σ = 1278539640. Its totient is φ = 156893184.

The previous prime is 461407519. The next prime is 461407547. The reversal of 461407520 is 25704164.

It can be written as a sum of positive squares in 4 ways, for example, as 454030864 + 7376656 = 21308^2 + 2716^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1795232 + ... + 1795488.

Almost surely, 2^461407520 is an apocalyptic number.

461407520 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 461407520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639269820).

461407520 is an abundant number, since it is smaller than the sum of its proper divisors (817132120).

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

461407520 is a wasteful number, since it uses less digits than its factorization.

461407520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 461407520 is about 21480.3985065455. The cubic root of 461407520 is about 772.7307996568.

The spelling of 461407520 in words is "four hundred sixty-one million, four hundred seven thousand, five hundred twenty".