1612465000 has 160 divisors (see below), whose sum is σ = 3976727040. Its totient is φ = 612000000.

The previous prime is 1612464941. The next prime is 1612465007. The reversal of 1612465000 is 5642161.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1612465007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15654949 + ... + 15655051.

It is an arithmetic number, because the mean of its divisors is an integer number (24854544).

Almost surely, 2^1612465000 is an apocalyptic number.

1612465000 is a gapful number since it is divisible by the number (10) 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 1612465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988363520).

1612465000 is an abundant number, since it is smaller than the sum of its proper divisors (2364262040).

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

1612465000 is a wasteful number, since it uses less digits than its factorization.

1612465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1612465000 is about 40155.5102071932. The cubic root of 1612465000 is about 1172.6365651234.

The spelling of 1612465000 in words is "one billion, six hundred twelve million, four hundred sixty-five thousand".