461507328 has 144 divisors (see below), whose sum is σ = 1424586240. Its totient is φ = 147096576.

The previous prime is 461507317. The next prime is 461507341. The reversal of 461507328 is 823705164.

461507328 is a `hidden beast` number, since 4 + 615 + 0 + 7 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 461507292 and 461507301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157525 + ... + 160427.

It is an arithmetic number, because the mean of its divisors is an integer number (9892960).

Almost surely, 2^461507328 is an apocalyptic number.

461507328 is a gapful number since it is divisible by the number (48) 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 461507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712293120).

461507328 is an abundant number, since it is smaller than the sum of its proper divisors (963078912).

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

461507328 is a wasteful number, since it uses less digits than its factorization.

461507328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 461507328 is about 21482.7216152889. The cubic root of 461507328 is about 772.7865126306.

The spelling of 461507328 in words is "four hundred sixty-one million, five hundred seven thousand, three hundred twenty-eight".