415421400 has 96 divisors (see below), whose sum is σ = 1343842560. Its totient is φ = 105959040.

The previous prime is 415421399. The next prime is 415421411. The reversal of 415421400 is 4124514.

It is a happy number.

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, 1252 + ... + 28851.

It is an arithmetic number, because the mean of its divisors is an integer number (13998360).

Almost surely, 2^415421400 is an apocalyptic number.

415421400 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 415421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671921280).

415421400 is an abundant number, since it is smaller than the sum of its proper divisors (928421160).

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

415421400 is a wasteful number, since it uses less digits than its factorization.

415421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30145 (or 30136 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 415421400 is about 20381.8890194211. The cubic root of 415421400 is about 746.1559760779.

Adding to 415421400 its reverse (4124514), we get a palindrome (419545914).

The spelling of 415421400 in words is "four hundred fifteen million, four hundred twenty-one thousand, four hundred".