40292532 has 96 divisors (see below), whose sum is σ = 120422400. Its totient is φ = 11412576.

The previous prime is 40292531. The next prime is 40292537. The reversal of 40292532 is 23529204.

40292532 is a `hidden beast` number, since 40 + 2 + 92 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40292496 and 40292505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40292531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168469 + ... + 168707.

It is an arithmetic number, because the mean of its divisors is an integer number (1254400).

Almost surely, 2^40292532 is an apocalyptic number.

40292532 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 40292532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60211200).

40292532 is an abundant number, since it is smaller than the sum of its proper divisors (80129868).

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

40292532 is a wasteful number, since it uses less digits than its factorization.

40292532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40292532 is about 6347.6398763635. The cubic root of 40292532 is about 342.8268696485.

It can be divided in two parts, 4029 and 2532, that added together give a 8-th power (6561 = 3⁸).

The spelling of 40292532 in words is "forty million, two hundred ninety-two thousand, five hundred thirty-two".