461528496 has 320 divisors, whose sum is σ = 1613230080. Its totient is φ = 124416000.

The previous prime is 461528479. The next prime is 461528539. The reversal of 461528496 is 694825164.

461528496 is a `hidden beast` number, since 4 + 6 + 152 + 8 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1914936 + ... + 1915176.

It is an arithmetic number, because the mean of its divisors is an integer number (5041344).

Almost surely, 2^461528496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461528496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806615040).

461528496 is an abundant number, since it is smaller than the sum of its proper divisors (1151701584).

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

461528496 is a wasteful number, since it uses less digits than its factorization.

461528496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 461528496 is about 21483.2142846456. The cubic root of 461528496 is about 772.7983276072.

The spelling of 461528496 in words is "four hundred sixty-one million, five hundred twenty-eight thousand, four hundred ninety-six".