412970400 has 180 divisors, whose sum is σ = 1506259062. Its totient is φ = 110108160.

The previous prime is 412970381. The next prime is 412970407. The reversal of 412970400 is 4079214.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 362673936 + 50296464 = 19044^2 + 7092^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412970407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61614 + ... + 67986.

Almost surely, 2^412970400 is an apocalyptic number.

412970400 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 412970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753129531).

412970400 is an abundant number, since it is smaller than the sum of its proper divisors (1093288662).

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

412970400 is a wasteful number, since it uses less digits than its factorization.

412970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6405 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 412970400 is about 20321.6731594620. The cubic root of 412970400 is about 744.6856322704.

It can be divided in two parts, 4129 and 70400, that added together give a square (74529 = 273²).

The spelling of 412970400 in words is "four hundred twelve million, nine hundred seventy thousand, four hundred".