400577040 has 240 divisors, whose sum is σ = 1409481216. Its totient is φ = 101836800.

The previous prime is 400576999. The next prime is 400577041. The reversal of 400577040 is 40775004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400576995 and 400577013.

It is not an unprimeable number, because it can be changed into a prime (400577041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2923852 + ... + 2923988.

Almost surely, 2^400577040 is an apocalyptic number.

400577040 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 400577040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704740608).

400577040 is an abundant number, since it is smaller than the sum of its proper divisors (1008904176).

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

400577040 is a wasteful number, since it uses less digits than its factorization.

400577040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 400577040 is about 20014.4208010125. The cubic root of 400577040 is about 737.1604350801.

The spelling of 400577040 in words is "four hundred million, five hundred seventy-seven thousand, forty".