400834560 has 240 divisors, whose sum is σ = 1472155776. Its totient is φ = 91226112.

The previous prime is 400834543. The next prime is 400834561. The reversal of 400834560 is 65438004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400834561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720204 + ... + 1720436.

Almost surely, 2^400834560 is an apocalyptic number.

400834560 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 400834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736077888).

400834560 is an abundant number, since it is smaller than the sum of its proper divisors (1071321216).

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

400834560 is an equidigital number, since it uses as much as digits as its factorization.

400834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 400834560 is about 20020.8531286756. The cubic root of 400834560 is about 737.3183679879.

The spelling of 400834560 in words is "four hundred million, eight hundred thirty-four thousand, five hundred sixty".