412505251400 has 96 divisors (see below), whose sum is σ = 1048874698080. Its totient is φ = 149627520000.

The previous prime is 412505251393. The next prime is 412505251409. The reversal of 412505251400 is 4152505214.

It is not an unprimeable number, because it can be changed into a prime (412505251409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648407 + ... + 1115993.

It is an arithmetic number, because the mean of its divisors is an integer number (10925778105).

Almost surely, 2^412505251400 is an apocalyptic number.

412505251400 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 412505251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524437349040).

412505251400 is an abundant number, since it is smaller than the sum of its proper divisors (636369446680).

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

412505251400 is a wasteful number, since it uses less digits than its factorization.

412505251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468015 (or 468006 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 412505251400 its reverse (4152505214), we get a palindrome (416657756614).

The spelling of 412505251400 in words is "four hundred twelve billion, five hundred five million, two hundred fifty-one thousand, four hundred".