461391840 has 432 divisors, whose sum is σ = 1976371488. Its totient is φ = 97155072.

The previous prime is 461391793. The next prime is 461391851. The reversal of 461391840 is 48193164.

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 = 461391795 and 461391804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917029 + ... + 917531.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2^461391840 is an apocalyptic number.

461391840 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 461391840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988185744).

461391840 is an abundant number, since it is smaller than the sum of its proper divisors (1514979648).

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

461391840 is a wasteful number, since it uses less digits than its factorization.

461391840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 461391840 is about 21480.0335195269. The cubic root of 461391840 is about 772.7220463272.

The spelling of 461391840 in words is "four hundred sixty-one million, three hundred ninety-one thousand, eight hundred forty".