415651488 has 192 divisors, whose sum is σ = 1303868160. Its totient is φ = 113467392.

The previous prime is 415651471. The next prime is 415651517. The reversal of 415651488 is 884156514.

It is a super-2 number, since 2×415651488² = 345532318953228288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1814958 + ... + 1815186.

It is an arithmetic number, because the mean of its divisors is an integer number (6790980).

Almost surely, 2^415651488 is an apocalyptic number.

415651488 is a gapful number since it is divisible by the number (48) 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 415651488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651934080).

415651488 is an abundant number, since it is smaller than the sum of its proper divisors (888216672).

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

415651488 is a wasteful number, since it uses less digits than its factorization.

415651488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 415651488 is about 20387.5326609180. The cubic root of 415651488 is about 746.2937075876.

The spelling of 415651488 in words is "four hundred fifteen million, six hundred fifty-one thousand, four hundred eighty-eight".