461399040 has 528 divisors, whose sum is σ = 1839352320. Its totient is φ = 106168320.

The previous prime is 461399011. The next prime is 461399053. The reversal of 461399040 is 40993164.

It is a super-2 number, since 2×461399040² = 425778148225843200, which contains 22 as substring.

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 = 461398986 and 461399004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14883825 + ... + 14883855.

Almost surely, 2^461399040 is an apocalyptic number.

461399040 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 461399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919676160).

461399040 is an abundant number, since it is smaller than the sum of its proper divisors (1377953280).

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

461399040 is a wasteful number, since it uses less digits than its factorization.

461399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 461399040 is about 21480.2011163769. The cubic root of 461399040 is about 772.7260657379.

The spelling of 461399040 in words is "four hundred sixty-one million, three hundred ninety-nine thousand, forty".