427077504 has 192 divisors, whose sum is σ = 1416804480. Its totient is φ = 120960000.

The previous prime is 427077499. The next prime is 427077527. The reversal of 427077504 is 405770724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1701379 + ... + 1701629.

It is an arithmetic number, because the mean of its divisors is an integer number (7379190).

Almost surely, 2^427077504 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 427077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708402240).

427077504 is an abundant number, since it is smaller than the sum of its proper divisors (989726976).

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

427077504 is a wasteful number, since it uses less digits than its factorization.

427077504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 427077504 is about 20665.8535754031. The cubic root of 427077504 is about 753.0703785481.

The spelling of 427077504 in words is "four hundred twenty-seven million, seventy-seven thousand, five hundred four".