400727808 has 216 divisors, whose sum is σ = 1319140368. Its totient is φ = 115900416.

The previous prime is 400727807. The next prime is 400727813. The reversal of 400727808 is 808727004.

It is a super-2 number, since 2×400727808² = 321165552208969728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400727807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508791 + ... + 509577.

Almost surely, 2^400727808 is an apocalyptic number.

400727808 is a gapful number since it is divisible by the number (48) 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 400727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659570184).

400727808 is an abundant number, since it is smaller than the sum of its proper divisors (918412560).

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

400727808 is a wasteful number, since it uses less digits than its factorization.

400727808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 400727808 is about 20018.1869308886. The cubic root of 400727808 is about 737.2529069001.

The spelling of 400727808 in words is "four hundred million, seven hundred twenty-seven thousand, eight hundred eight".