412742400 has 432 divisors, whose sum is σ = 1618063104. Its totient is φ = 90685440.

The previous prime is 412742389. The next prime is 412742419. The reversal of 412742400 is 4247214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4972759 + ... + 4972841.

Almost surely, 2^412742400 is an apocalyptic number.

412742400 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 412742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809031552).

412742400 is an abundant number, since it is smaller than the sum of its proper divisors (1205320704).

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

412742400 is a wasteful number, since it uses less digits than its factorization.

412742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 412742400 is about 20316.0626106537. The cubic root of 412742400 is about 744.5485606382.

Adding to 412742400 its reverse (4247214), we get a palindrome (416989614).

The spelling of 412742400 in words is "four hundred twelve million, seven hundred forty-two thousand, four hundred".