427612480 has 112 divisors (see below), whose sum is σ = 1092890880. Its totient is φ = 158865408.

The previous prime is 427612463. The next prime is 427612547. The reversal of 427612480 is 84216724.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321577 + ... + 322903.

Almost surely, 2^427612480 is an apocalyptic number.

427612480 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 427612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546445440).

427612480 is an abundant number, since it is smaller than the sum of its proper divisors (665278400).

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

427612480 is a wasteful number, since it uses less digits than its factorization.

427612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 427612480 is about 20678.7930015270. The cubic root of 427612480 is about 753.3846903319.

The spelling of 427612480 in words is "four hundred twenty-seven million, six hundred twelve thousand, four hundred eighty".