415425600 has 252 divisors, whose sum is σ = 1564296084. Its totient is φ = 104202240.

The previous prime is 415425503. The next prime is 415425601. The reversal of 415425600 is 6524514.

415425600 is a `hidden beast` number, since 4 + 1 + 54 + 2 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36578304 + 378847296 = 6048^2 + 19464^2 .

It is not an unprimeable number, because it can be changed into a prime (415425601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243952 + ... + 245648.

Almost surely, 2^415425600 is an apocalyptic number.

415425600 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 415425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782148042).

415425600 is an abundant number, since it is smaller than the sum of its proper divisors (1148870484).

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

415425600 is a wasteful number, since it uses less digits than its factorization.

415425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1724 counting only the distinct ones).

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

The square root of 415425600 is about 20381.9920518089. The cubic root of 415425600 is about 746.1584906688.

It can be divided in two parts, 415425 and 600, that added together give a square (416025 = 645²).

The spelling of 415425600 in words is "four hundred fifteen million, four hundred twenty-five thousand, six hundred".