412542720 has 360 divisors, whose sum is σ = 1549237536. Its totient is φ = 104620032.

The previous prime is 412542701. The next prime is 412542749. The reversal of 412542720 is 27245214.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2384554 + ... + 2384726.

Almost surely, 2^412542720 is an apocalyptic number.

412542720 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 412542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774618768).

412542720 is an abundant number, since it is smaller than the sum of its proper divisors (1136694816).

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

412542720 is a wasteful number, since it uses less digits than its factorization.

412542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 412542720 is about 20311.1476780609. The cubic root of 412542720 is about 744.4284732760.

Adding to 412542720 its reverse (27245214), we get a palindrome (439787934).

The spelling of 412542720 in words is "four hundred twelve million, five hundred forty-two thousand, seven hundred twenty".