380451400 has 96 divisors (see below), whose sum is σ = 1015202880. Its totient is φ = 129888000.

The previous prime is 380451373. The next prime is 380451403. The reversal of 380451400 is 4154083.

It is a super-3 number, since 3×380451400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (380451403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462990 + ... + 463810.

It is an arithmetic number, because the mean of its divisors is an integer number (10575030).

Almost surely, 2^380451400 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 380451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507601440).

380451400 is an abundant number, since it is smaller than the sum of its proper divisors (634751480).

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

380451400 is a wasteful number, since it uses less digits than its factorization.

380451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 380451400 is about 19505.1634189514. The cubic root of 380451400 is about 724.6023344355.

The spelling of 380451400 in words is "three hundred eighty million, four hundred fifty-one thousand, four hundred".