400783680 has 224 divisors, whose sum is σ = 1542775680. Its totient is φ = 97136640.

The previous prime is 400783673. The next prime is 400783699. The reversal of 400783680 is 86387004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92932 + ... + 97148.

Almost surely, 2^400783680 is an apocalyptic number.

400783680 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 400783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771387840).

400783680 is an abundant number, since it is smaller than the sum of its proper divisors (1141992000).

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

400783680 is a wasteful number, since it uses less digits than its factorization.

400783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 400783680 is about 20019.5824132273. The cubic root of 400783680 is about 737.2871694588.

The spelling of 400783680 in words is "four hundred million, seven hundred eighty-three thousand, six hundred eighty".