400420608 has 144 divisors (see below), whose sum is σ = 1227184896. Its totient is φ = 113541120.

The previous prime is 400420597. The next prime is 400420619. The reversal of 400420608 is 806024004.

It is an interprime number because it is at equal distance from previous prime (400420597) and next prime (400420619).

It is a super-2 number, since 2×400420608² = 320673326622179328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 1134160 + ... + 1134512.

Almost surely, 2^400420608 is an apocalyptic number.

400420608 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 400420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613592448).

400420608 is an abundant number, since it is smaller than the sum of its proper divisors (826764288).

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

400420608 is a wasteful number, since it uses less digits than its factorization.

400420608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 400420608 is about 20010.5124372166. The cubic root of 400420608 is about 737.0644647807.

The spelling of 400420608 in words is "four hundred million, four hundred twenty thousand, six hundred eight".