338460000 has 120 divisors (see below), whose sum is σ = 1110413304. Its totient is φ = 90240000.

The previous prime is 338459971. The next prime is 338460011. The reversal of 338460000 is 64833.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×338460000² = 229110343200000000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57180 + ... + 62820.

Almost surely, 2^338460000 is an apocalyptic number.

338460000 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 338460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206652).

338460000 is an abundant number, since it is smaller than the sum of its proper divisors (771953304).

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

338460000 is an equidigital number, since it uses as much as digits as its factorization.

338460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 338460000 is about 18397.2824080080. The cubic root of 338460000 is about 696.8978371999.

The spelling of 338460000 in words is "three hundred thirty-eight million, four hundred sixty thousand".