385266420 has 486 divisors, whose sum is σ = 1577045106. Its totient is φ = 75841920.

The previous prime is 385266391. The next prime is 385266433. The reversal of 385266420 is 24662583.

385266420 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 6 + 642 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308213136 + 77053284 = 17556^2 + 8778^2 .

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 161 ways as a sum of consecutive naturals, for example, 20277171 + ... + 20277189.

Almost surely, 2^385266420 is an apocalyptic number.

385266420 is a gapful number since it is divisible by the number (30) 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 385266420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788522553).

385266420 is an abundant number, since it is smaller than the sum of its proper divisors (1191778686).

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

385266420 is a wasteful number, since it uses less digits than its factorization.

385266420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 385266420 is about 19628.2047064932. The cubic root of 385266420 is about 727.6464012588.

The spelling of 385266420 in words is "three hundred eighty-five million, two hundred sixty-six thousand, four hundred twenty".