400461520 has 60 divisors (see below), whose sum is σ = 989120844. Its totient is φ = 150753280.

The previous prime is 400461511. The next prime is 400461539. The reversal of 400461520 is 25164004.

It can be written as a sum of positive squares in 6 ways, for example, as 4769856 + 395691664 = 2184^2 + 19892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400461491 and 400461500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14460 + ... + 31780.

Almost surely, 2^400461520 is an apocalyptic number.

400461520 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 400461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494560422).

400461520 is an abundant number, since it is smaller than the sum of its proper divisors (588659324).

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

400461520 is a wasteful number, since it uses less digits than its factorization.

400461520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17368 (or 17345 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 400461520 is about 20011.5346737825. The cubic root of 400461520 is about 737.0895665145.

The spelling of 400461520 in words is "four hundred million, four hundred sixty-one thousand, five hundred twenty".