427558950 has 288 divisors, whose sum is σ = 1447782336. Its totient is φ = 88058880.

The previous prime is 427558909. The next prime is 427558969. The reversal of 427558950 is 59855724.

427558950 is a `hidden beast` number, since 4 + 2 + 7 + 558 + 95 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 427558896 and 427558905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2170252 + ... + 2170448.

It is an arithmetic number, because the mean of its divisors is an integer number (5027022).

Almost surely, 2^427558950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427558950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723891168).

427558950 is an abundant number, since it is smaller than the sum of its proper divisors (1020223386).

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

427558950 is a wasteful number, since it uses less digits than its factorization.

427558950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 427558950 is about 20677.4986398259. The cubic root of 427558950 is about 753.3532519250.

The spelling of 427558950 in words is "four hundred twenty-seven million, five hundred fifty-eight thousand, nine hundred fifty".