427484736 has 224 divisors, whose sum is σ = 1463040000. Its totient is φ = 119867904.

The previous prime is 427484683. The next prime is 427484741. The reversal of 427484736 is 637484724.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 427484691 and 427484700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713365 + ... + 713963.

Almost surely, 2^427484736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427484736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731520000).

427484736 is an abundant number, since it is smaller than the sum of its proper divisors (1035555264).

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

427484736 is a wasteful number, since it uses less digits than its factorization.

427484736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 427484736 is about 20675.7040025243. The cubic root of 427484736 is about 753.3096613719.

The spelling of 427484736 in words is "four hundred twenty-seven million, four hundred eighty-four thousand, seven hundred thirty-six".