383420400 has 240 divisors, whose sum is σ = 1384578048. Its totient is φ = 89856000.

The previous prime is 383420371. The next prime is 383420449. The reversal of 383420400 is 4024383.

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

It is a super-2 number, since 2×383420400² = 294022406272320000, which contains 22 as substring.

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

It is a congruent number.

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, 408732 + ... + 409668.

Almost surely, 2^383420400 is an apocalyptic number.

383420400 is a gapful number since it is divisible by the number (30) 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 383420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692289024).

383420400 is an abundant number, since it is smaller than the sum of its proper divisors (1001157648).

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

383420400 is a wasteful number, since it uses less digits than its factorization.

383420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 383420400 is about 19581.1235632688. The cubic root of 383420400 is about 726.4823574686.

Adding to 383420400 its reverse (4024383), we get a palindrome (387444783).

The spelling of 383420400 in words is "three hundred eighty-three million, four hundred twenty thousand, four hundred".