202379040 has 192 divisors, whose sum is σ = 718502400. Its totient is φ = 53194752.

The previous prime is 202378991. The next prime is 202379059. The reversal of 202379040 is 40973202.

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 = 202378995 and 202379013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340984 + ... + 341576.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2^202379040 is an apocalyptic number.

202379040 is a gapful number since it is divisible by the number (20) 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 202379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

202379040 is an abundant number, since it is smaller than the sum of its proper divisors (516123360).

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

202379040 is a wasteful number, since it uses less digits than its factorization.

202379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 202379040 is about 14225.9987347110. The cubic root of 202379040 is about 587.1131988398.

The spelling of 202379040 in words is "two hundred two million, three hundred seventy-nine thousand, forty".