438780000 has 240 divisors, whose sum is σ = 1473728256. Its totient is φ = 114240000.

The previous prime is 438779987. The next prime is 438780029. The reversal of 438780000 is 87834.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 438780000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4259949 + ... + 4260051.

Almost surely, 2^438780000 is an apocalyptic number.

438780000 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 438780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736864128).

438780000 is an abundant number, since it is smaller than the sum of its proper divisors (1034948256).

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

438780000 is a wasteful number, since it uses less digits than its factorization.

438780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 438780000 is about 20947.0761682866. The cubic root of 438780000 is about 759.8868714346.

The spelling of 438780000 in words is "four hundred thirty-eight million, seven hundred eighty thousand".