415745400 has 288 divisors, whose sum is σ = 1526688000. Its totient is φ = 93300480.

The previous prime is 415745381. The next prime is 415745417. The reversal of 415745400 is 4547514.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2322511 + ... + 2322689.

It is an arithmetic number, because the mean of its divisors is an integer number (5301000).

Almost surely, 2^415745400 is an apocalyptic number.

415745400 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 415745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344000).

415745400 is an abundant number, since it is smaller than the sum of its proper divisors (1110942600).

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

415745400 is a wasteful number, since it uses less digits than its factorization.

415745400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 415745400 is about 20389.8357031144. The cubic root of 415745400 is about 746.3499090440.

The spelling of 415745400 in words is "four hundred fifteen million, seven hundred forty-five thousand, four hundred".