202740048 has 180 divisors, whose sum is σ = 672590880. Its totient is φ = 56827008.

The previous prime is 202740029. The next prime is 202740059. The reversal of 202740048 is 840047202.

It is a super-2 number, since 2×202740048² = 82207054126084608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 416061 + ... + 416547.

It is an arithmetic number, because the mean of its divisors is an integer number (3736616).

Almost surely, 2^202740048 is an apocalyptic number.

202740048 is a gapful number since it is divisible by the number (28) 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 202740048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336295440).

202740048 is an abundant number, since it is smaller than the sum of its proper divisors (469850832).

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

202740048 is a wasteful number, since it uses less digits than its factorization.

202740048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 202740048 is about 14238.6813996241. The cubic root of 202740048 is about 587.4620931027.

The spelling of 202740048 in words is "two hundred two million, seven hundred forty thousand, forty-eight".