205451140 has 24 divisors (see below), whose sum is σ = 432297432. Its totient is φ = 82018560.

The previous prime is 205451131. The next prime is 205451149. The reversal of 205451140 is 41154502.

It is an interprime number because it is at equal distance from previous prime (205451131) and next prime (205451149).

It can be written as a sum of positive squares in 4 ways, for example, as 617796 + 204833344 = 786^2 + 14312^2 .

It is not an unprimeable number, because it can be changed into a prime (205451149) 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, 562 + ... + 20278.

It is an arithmetic number, because the mean of its divisors is an integer number (18012393).

Almost surely, 2^205451140 is an apocalyptic number.

205451140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205451140 is an abundant number, since it is smaller than the sum of its proper divisors (226846292).

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

205451140 is a wasteful number, since it uses less digits than its factorization.

205451140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20247 (or 20245 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 205451140 is about 14333.5668973218. The cubic root of 205451140 is about 590.0690716798.

The spelling of 205451140 in words is "two hundred five million, four hundred fifty-one thousand, one hundred forty".