4075400 has 96 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1344000.

The previous prime is 4075397. The next prime is 4075429. The reversal of 4075400 is 45704.

4075400 = 57² + 58² + ... + 231².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57365 + ... + 57435.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^4075400 is an apocalyptic number.

4075400 is a gapful number since it is divisible by the number (40) 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 4075400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4075400 is an abundant number, since it is smaller than the sum of its proper divisors (7173880).

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

4075400 is a wasteful number, since it uses less digits than its factorization.

4075400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 4075400 is about 2018.7619968684. The cubic root of 4075400 is about 159.7313199047.

The spelling of 4075400 in words is "four million, seventy-five thousand, four hundred".