461383020 has 384 divisors, whose sum is σ = 1741824000. Its totient is φ = 101267712.

The previous prime is 461382997. The next prime is 461383051. The reversal of 461383020 is 20383164.

It is a happy number.

It is a super-2 number, since 2×461383020² = 425748582288640800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8705314 + ... + 8705366.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2^461383020 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 461383020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

461383020 is an abundant number, since it is smaller than the sum of its proper divisors (1280440980).

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

461383020 is a wasteful number, since it uses less digits than its factorization.

461383020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 461383020 is about 21479.8282116036. The cubic root of 461383020 is about 772.7171224922.

The spelling of 461383020 in words is "four hundred sixty-one million, three hundred eighty-three thousand, twenty".