612465040 has 80 divisors (see below), whose sum is σ = 1560900096. Its totient is φ = 221644800.

The previous prime is 612465013. The next prime is 612465043. The reversal of 612465040 is 40564216.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×612465040² = 750226850444403200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (612465043) 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 15 ways as a sum of consecutive naturals, for example, 194680 + ... + 197800.

Almost surely, 2^612465040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780450048).

612465040 is an abundant number, since it is smaller than the sum of its proper divisors (948435056).

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

612465040 is a wasteful number, since it uses less digits than its factorization.

612465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 612465040 is about 24748.0310327913. The cubic root of 612465040 is about 849.2334681172.

The spelling of 612465040 in words is "six hundred twelve million, four hundred sixty-five thousand, forty".