416253000 has 128 divisors (see below), whose sum is σ = 1314144000. Its totient is φ = 109683200.

The previous prime is 416252987. The next prime is 416253059. The reversal of 416253000 is 352614.

It is a happy number.

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, 266221 + ... + 267779.

It is an arithmetic number, because the mean of its divisors is an integer number (10266750).

Almost surely, 2^416253000 is an apocalyptic number.

416253000 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 416253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657072000).

416253000 is an abundant number, since it is smaller than the sum of its proper divisors (897891000).

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

416253000 is a wasteful number, since it uses less digits than its factorization.

416253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 416253000 is about 20402.2792844329. The cubic root of 416253000 is about 746.6535348810.

The spelling of 416253000 in words is "four hundred sixteen million, two hundred fifty-three thousand".