202946040 has 192 divisors, whose sum is σ = 744055200. Its totient is φ = 49167360.

The previous prime is 202946027. The next prime is 202946041. The reversal of 202946040 is 40649202.

202946040 is digitally balanced in base 2 and base 3, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 202945995 and 202946013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202946041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129904 + ... + 131456.

Almost surely, 2^202946040 is an apocalyptic number.

202946040 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 202946040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372027600).

202946040 is an abundant number, since it is smaller than the sum of its proper divisors (541109160).

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

202946040 is a wasteful number, since it uses less digits than its factorization.

202946040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 202946040 is about 14245.9130981485. The cubic root of 202946040 is about 587.6609874197.

The spelling of 202946040 in words is "two hundred two million, nine hundred forty-six thousand, forty".