400161600 has 336 divisors, whose sum is σ = 1492910400. Its totient is φ = 104232960.

The previous prime is 400161583. The next prime is 400161637. The reversal of 400161600 is 6161004.

400161600 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 61 + 600 = 666.

It is a super-2 number, since 2×400161600² = 320258612229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 2548722 + ... + 2548878.

Almost surely, 2^400161600 is an apocalyptic number.

400161600 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 400161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746455200).

400161600 is an abundant number, since it is smaller than the sum of its proper divisors (1092748800).

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

400161600 is a wasteful number, since it uses less digits than its factorization.

400161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 400161600 is about 20004.0395920424. The cubic root of 400161600 is about 736.9055096174.

It can be divided in two parts, 40016 and 1600, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 400161600 in words is "four hundred million, one hundred sixty-one thousand, six hundred".