427913850 has 384 divisors, whose sum is σ = 1439907840. Its totient is φ = 81607680.

The previous prime is 427913833. The next prime is 427913903. The reversal of 427913850 is 58319724.

It is a super-2 number, since 2×427913850² = 366220526043645000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 427913799 and 427913808.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9104527 + ... + 9104573.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^427913850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427913850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

427913850 is an abundant number, since it is smaller than the sum of its proper divisors (1011993990).

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

427913850 is a wasteful number, since it uses less digits than its factorization.

427913850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 427913850 is about 20686.0786520790. The cubic root of 427913850 is about 753.5616373237.

The spelling of 427913850 in words is "four hundred twenty-seven million, nine hundred thirteen thousand, eight hundred fifty".