42792240 has 40 divisors (see below), whose sum is σ = 132656688. Its totient is φ = 11411200.

The previous prime is 42792223. The next prime is 42792241. The reversal of 42792240 is 4229724.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42792198 and 42792207.

It is not an unprimeable number, because it can be changed into a prime (42792241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88911 + ... + 89390.

Almost surely, 2^42792240 is an apocalyptic number.

42792240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42792240 is an abundant number, since it is smaller than the sum of its proper divisors (89864448).

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

42792240 is a wasteful number, since it uses less digits than its factorization.

42792240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178317 (or 178311 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42792240 is about 6541.5777913283. The cubic root of 42792240 is about 349.7746576689.

The spelling of 42792240 in words is "forty-two million, seven hundred ninety-two thousand, two hundred forty".