427200480 has 480 divisors, whose sum is σ = 1830983616. Its totient is φ = 91570176.

The previous prime is 427200469. The next prime is 427200493. The reversal of 427200480 is 84002724.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×427200480² = 365000500224460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1542102 + ... + 1542378.

Almost surely, 2^427200480 is an apocalyptic number.

427200480 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 427200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915491808).

427200480 is an abundant number, since it is smaller than the sum of its proper divisors (1403783136).

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

427200480 is a wasteful number, since it uses less digits than its factorization.

427200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 427200480 is about 20668.8287041138. The cubic root of 427200480 is about 753.1426532480.

The spelling of 427200480 in words is "four hundred twenty-seven million, two hundred thousand, four hundred eighty".