415655040 has 128 divisors (see below), whose sum is σ = 1360941120. Its totient is φ = 107827200.

The previous prime is 415655033. The next prime is 415655047. The reversal of 415655040 is 40556514.

It is an interprime number because it is at equal distance from previous prime (415655033) and next prime (415655047).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×415655040² = 345538224554803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 415654989 and 415655007.

It is not an unprimeable number, because it can be changed into a prime (415655047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68115 + ... + 73965.

Almost surely, 2^415655040 is an apocalyptic number.

415655040 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 415655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680470560).

415655040 is an abundant number, since it is smaller than the sum of its proper divisors (945286080).

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

415655040 is a wasteful number, since it uses less digits than its factorization.

415655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 415655040 is about 20387.6197727935. The cubic root of 415655040 is about 746.2958334292.

The spelling of 415655040 in words is "four hundred fifteen million, six hundred fifty-five thousand, forty".