438134400 has 384 divisors, whose sum is σ = 1753012800. Its totient is φ = 105984000.

The previous prime is 438134399. The next prime is 438134443. The reversal of 438134400 is 4431834.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 950170 + ... + 950630.

Almost surely, 2^438134400 is an apocalyptic number.

438134400 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 438134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876506400).

438134400 is an abundant number, since it is smaller than the sum of its proper divisors (1314878400).

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

438134400 is a wasteful number, since it uses less digits than its factorization.

438134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 438134400 is about 20931.6602303783. The cubic root of 438134400 is about 759.5140013798.

It can be divided in two parts, 4381 and 34400, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 438134400 in words is "four hundred thirty-eight million, one hundred thirty-four thousand, four hundred".