416130048 has 220 divisors, whose sum is σ = 1292926140. Its totient is φ = 133152768.

The previous prime is 416130037. The next prime is 416130059. The reversal of 416130048 is 840031614.

416130048 is a `hidden beast` number, since 4 + 1 + 613 + 0 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (416130037) and next prime (416130059).

It can be written as a sum of positive squares in 2 ways, for example, as 308634624 + 107495424 = 17568^2 + 10368^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2405290 + ... + 2405462.

It is an arithmetic number, because the mean of its divisors is an integer number (5876937).

Almost surely, 2^416130048 is an apocalyptic number.

416130048 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 416130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646463070).

416130048 is an abundant number, since it is smaller than the sum of its proper divisors (876796092).

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

416130048 is a wasteful number, since it uses less digits than its factorization.

416130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 416130048 is about 20399.2658691434. The cubic root of 416130048 is about 746.5800126195.

The spelling of 416130048 in words is "four hundred sixteen million, one hundred thirty thousand, forty-eight".