383437152 has 180 divisors, whose sum is σ = 1312223220. Its totient is φ = 109517184.

The previous prime is 383437141. The next prime is 383437183. The reversal of 383437152 is 251734383.

It is a super-2 number, since 2×383437152² = 294048099067742208, which contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 125499 + ... + 128517.

It is an arithmetic number, because the mean of its divisors is an integer number (7290129).

Almost surely, 2^383437152 is an apocalyptic number.

383437152 is a gapful number since it is divisible by the number (32) 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 383437152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656111610).

383437152 is an abundant number, since it is smaller than the sum of its proper divisors (928786068).

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

383437152 is a wasteful number, since it uses less digits than its factorization.

383437152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3031 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 383437152 is about 19581.5513175029. The cubic root of 383437152 is about 726.4929375483.

The spelling of 383437152 in words is "three hundred eighty-three million, four hundred thirty-seven thousand, one hundred fifty-two".