205472400 has 240 divisors, whose sum is σ = 766462848. Its totient is φ = 46080000.

The previous prime is 205472383. The next prime is 205472417. The reversal of 205472400 is 4274502.

It is an interprime number because it is at equal distance from previous prime (205472383) and next prime (205472417).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512200 + ... + 512600.

Almost surely, 2^205472400 is an apocalyptic number.

205472400 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 205472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383231424).

205472400 is an abundant number, since it is smaller than the sum of its proper divisors (560990448).

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

205472400 is a wasteful number, since it uses less digits than its factorization.

205472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 205472400 is about 14334.3084939595. The cubic root of 205472400 is about 590.0894243465.

The spelling of 205472400 in words is "two hundred five million, four hundred seventy-two thousand, four hundred".