514164000 has 192 divisors, whose sum is σ = 1925344512. Its totient is φ = 117504000.

The previous prime is 514163999. The next prime is 514164017. The reversal of 514164000 is 461415.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80940 + ... + 87060.

It is an arithmetic number, because the mean of its divisors is an integer number (10027836).

Almost surely, 2^514164000 is an apocalyptic number.

514164000 is a gapful number since it is divisible by the number (50) 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 514164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962672256).

514164000 is an abundant number, since it is smaller than the sum of its proper divisors (1411180512).

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

514164000 is a wasteful number, since it uses less digits than its factorization.

514164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6156 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 514164000 is about 22675.1846739999. The cubic root of 514164000 is about 801.1254991553.

The spelling of 514164000 in words is "five hundred fourteen million, one hundred sixty-four thousand".