1427053824 has 216 divisors, whose sum is σ = 4950895040. Its totient is φ = 386187264.

The previous prime is 1427053781. The next prime is 1427053829. The reversal of 1427053824 is 4283507241.

It is a happy number.

1427053824 is a `hidden beast` number, since 1 + 4 + 270 + 5 + 382 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427053829) 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, 304104 + ... + 308760.

Almost surely, 2^1427053824 is an apocalyptic number.

1427053824 is a gapful number since it is divisible by the number (14) 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 1427053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475447520).

1427053824 is an abundant number, since it is smaller than the sum of its proper divisors (3523841216).

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

1427053824 is a wasteful number, since it uses less digits than its factorization.

1427053824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1427053824 is about 37776.3659448603. The cubic root of 1427053824 is about 1125.8489260533.

The spelling of 1427053824 in words is "one billion, four hundred twenty-seven million, fifty-three thousand, eight hundred twenty-four".