385101432 has 64 divisors (see below), whose sum is σ = 1073952000. Its totient is φ = 127860192.

The previous prime is 385101419. The next prime is 385101449. The reversal of 385101432 is 234101583.

It is a happy number.

385101432 is a `hidden beast` number, since 3 + 8 + 510 + 143 + 2 = 666.

It is a super-2 number, since 2×385101432² = 296606225856901248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 385101396 and 385101405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53419 + ... + 60197.

It is an arithmetic number, because the mean of its divisors is an integer number (16780500).

Almost surely, 2^385101432 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 385101432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536976000).

385101432 is an abundant number, since it is smaller than the sum of its proper divisors (688850568).

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

385101432 is a wasteful number, since it uses less digits than its factorization.

385101432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 385101432 is about 19624.0014268242. The cubic root of 385101432 is about 727.5425163801.

The spelling of 385101432 in words is "three hundred eighty-five million, one hundred one thousand, four hundred thirty-two".