1417432320 has 216 divisors, whose sum is σ = 5025456072. Its totient is φ = 368640000.

The previous prime is 1417432309. The next prime is 1417432327. The reversal of 1417432320 is 232347141.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 1412557056 = 2208^2 + 37584^2 .

It is a super-2 number, since 2×1417432320² = 4018228763561164800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1417432327) 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, 470820 + ... + 473820.

Almost surely, 2^1417432320 is an apocalyptic number.

1417432320 is a gapful number since it is divisible by the number (10) 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 1417432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512728036).

1417432320 is an abundant number, since it is smaller than the sum of its proper divisors (3608023752).

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

1417432320 is a wasteful number, since it uses less digits than its factorization.

1417432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1417432320 is about 37648.8023713902. The cubic root of 1417432320 is about 1123.3129796013.

Adding to 1417432320 its reverse (232347141), we get a palindrome (1649779461).

The spelling of 1417432320 in words is "one billion, four hundred seventeen million, four hundred thirty-two thousand, three hundred twenty".