461206379520 has 1056 divisors, whose sum is σ = 1729604298240. Its totient is φ = 117767208960.

The previous prime is 461206379507. The next prime is 461206379537. The reversal of 461206379520 is 25973602164.

461206379520 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 0 + 637 + 9 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×461206379520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4477731789 + ... + 4477731891.

Almost surely, 2^461206379520 is an apocalyptic number.

461206379520 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 461206379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864802149120).

461206379520 is an abundant number, since it is smaller than the sum of its proper divisors (1268397918720).

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

461206379520 is a wasteful number, since it uses less digits than its factorization.

461206379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 461206379520 in words is "four hundred sixty-one billion, two hundred six million, three hundred seventy-nine thousand, five hundred twenty".