404052300 has 180 divisors, whose sum is σ = 1327763976. Its totient is φ = 106272000.

The previous prime is 404052283. The next prime is 404052301. The reversal of 404052300 is 3250404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×404052300² = 326516522270580000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (404052301) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 672000 + ... + 672600.

Almost surely, 2^404052300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663881988).

404052300 is an abundant number, since it is smaller than the sum of its proper divisors (923711676).

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

404052300 is a wasteful number, since it uses less digits than its factorization.

404052300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 404052300 is about 20101.0522112650. The cubic root of 404052300 is about 739.2860779546.

The spelling of 404052300 in words is "four hundred four million, fifty-two thousand, three hundred".