415601400 has 96 divisors (see below), whose sum is σ = 1293064560. Its totient is φ = 110423040.

The previous prime is 415601393. The next prime is 415601423. The reversal of 415601400 is 4106514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186694 + ... + 188906.

Almost surely, 2^415601400 is an apocalyptic number.

415601400 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 415601400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646532280).

415601400 is an abundant number, since it is smaller than the sum of its proper divisors (877463160).

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

415601400 is a wasteful number, since it uses less digits than its factorization.

415601400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 415601400 is about 20386.3042261220. The cubic root of 415601400 is about 746.2637290584.

Adding to 415601400 its reverse (4106514), we get a palindrome (419707914).

The spelling of 415601400 in words is "four hundred fifteen million, six hundred one thousand, four hundred".