415153040 has 40 divisors (see below), whose sum is σ = 1016036160. Its totient is φ = 157320576.

The previous prime is 415153031. The next prime is 415153043. The reversal of 415153040 is 40351514.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 415152997 and 415153015.

It is not an unprimeable number, because it can be changed into a prime (415153043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135044 + ... + 138083.

It is an arithmetic number, because the mean of its divisors is an integer number (25400904).

Almost surely, 2^415153040 is an apocalyptic number.

415153040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415153040 is an abundant number, since it is smaller than the sum of its proper divisors (600883120).

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

415153040 is a wasteful number, since it uses less digits than its factorization.

415153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273159 (or 273153 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 415153040 is about 20375.3046602989. The cubic root of 415153040 is about 745.9952705462.

The spelling of 415153040 in words is "four hundred fifteen million, one hundred fifty-three thousand, forty".