415551400 has 192 divisors, whose sum is σ = 1147426560. Its totient is φ = 138240000.

The previous prime is 415551397. The next prime is 415551407. The reversal of 415551400 is 4155514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415551407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1533265 + ... + 1533535.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180).

Almost surely, 2^415551400 is an apocalyptic number.

415551400 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 415551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573713280).

415551400 is an abundant number, since it is smaller than the sum of its proper divisors (731875160).

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

415551400 is a wasteful number, since it uses less digits than its factorization.

415551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 415551400 is about 20385.0778757404. The cubic root of 415551400 is about 746.2338007963.

415551400 divided by its reverse (4155514) gives a square (100 = 10²).

It can be divided in two parts, 4155 and 51400, that added together give a palindrome (55555).

The spelling of 415551400 in words is "four hundred fifteen million, five hundred fifty-one thousand, four hundred".