400092 has 48 divisors (see below), whose sum is σ = 1166592. Its totient is φ = 103680.

The previous prime is 400087. The next prime is 400093. The reversal of 400092 is 290004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708 + ... + 1140.

It is an arithmetic number, because the mean of its divisors is an integer number (24304).

2⁴⁰⁰⁰⁹² is an apocalyptic number.

400092 is a gapful number since it is divisible by the number (42) 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 400092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583296).

400092 is an abundant number, since it is smaller than the sum of its proper divisors (766500).

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

400092 is a wasteful number, since it uses less digits than its factorization.

400092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 400092 is about 632.5282602382. The cubic root of 400092 is about 73.6862783881.

Multiplying 400092 by its sum of digits (15), we get a triangular number (6001380 = T₃₄₆₄).

Adding to 400092 its reverse (290004), we get a palindrome (690096).

The spelling of 400092 in words is "four hundred thousand, ninety-two".