415454130 has 256 divisors, whose sum is σ = 1403458560. Its totient is φ = 85100544.

The previous prime is 415454119. The next prime is 415454131. The reversal of 415454130 is 31454514.

It is a happy number.

415454130 is a `hidden beast` number, since 41 + 54 + 541 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 415454094 and 415454103.

It is not an unprimeable number, because it can be changed into a prime (415454131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 908862 + ... + 909318.

It is an arithmetic number, because the mean of its divisors is an integer number (5482260).

Almost surely, 2^415454130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415454130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701729280).

415454130 is an abundant number, since it is smaller than the sum of its proper divisors (988004430).

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

415454130 is a wasteful number, since it uses less digits than its factorization.

415454130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 415454130 is about 20382.6919223149. The cubic root of 415454130 is about 746.1755714765.

The spelling of 415454130 in words is "four hundred fifteen million, four hundred fifty-four thousand, one hundred thirty".