161429400 has 288 divisors, whose sum is σ = 612817920. Its totient is φ = 37728000.

The previous prime is 161429383. The next prime is 161429407. The reversal of 161429400 is 4924161.

161429400 is a `hidden beast` number, since 1 + 614 + 2 + 9 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161429407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 613669 + ... + 613931.

It is an arithmetic number, because the mean of its divisors is an integer number (2127840).

Almost surely, 2^161429400 is an apocalyptic number.

161429400 is a gapful number since it is divisible by the number (10) 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 161429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306408960).

161429400 is an abundant number, since it is smaller than the sum of its proper divisors (451388520).

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

161429400 is a wasteful number, since it uses less digits than its factorization.

161429400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 161429400 is about 12705.4870036532. The cubic root of 161429400 is about 544.4953946796.

The spelling of 161429400 in words is "one hundred sixty-one million, four hundred twenty-nine thousand, four hundred".