20057400 has 144 divisors (see below), whose sum is σ = 73555560. Its totient is φ = 4857600.

The previous prime is 20057383. The next prime is 20057431. The reversal of 20057400 is 475002.

20057400 = 103³ + 104³ + ... + 117³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 19294 + ... + 20306.

Almost surely, 2^20057400 is an apocalyptic number.

20057400 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 20057400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36777780).

20057400 is an abundant number, since it is smaller than the sum of its proper divisors (53498160).

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

20057400 is a wasteful number, since it uses less digits than its factorization.

20057400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 20057400 is about 4478.5488721236. The cubic root of 20057400 is about 271.7011929136.

It can be divided in two parts, 200 and 57400, that added together give a square (57600 = 240²).

The spelling of 20057400 in words is "twenty million, fifty-seven thousand, four hundred".