249892020 has 96 divisors (see below), whose sum is σ = 888518400. Its totient is φ = 57117312.

The previous prime is 249892003. The next prime is 249892021. The reversal of 249892020 is 20298942.

249892020 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

249892020 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249892021) 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, 29275 + ... + 36834.

It is an arithmetic number, because the mean of its divisors is an integer number (9255400).

Almost surely, 2^249892020 is an apocalyptic number.

249892020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249892020 is an abundant number, since it is smaller than the sum of its proper divisors (638626380).

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

249892020 is a wasteful number, since it uses less digits than its factorization.

249892020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66134 (or 66126 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 249892020 is about 15807.9733046333. The cubic root of 249892020 is about 629.8698143696.

The spelling of 249892020 in words is "two hundred forty-nine million, eight hundred ninety-two thousand, twenty".