379533000 has 512 divisors, whose sum is σ = 1552711680. Its totient is φ = 74880000.

The previous prime is 379532983. The next prime is 379533019. The reversal of 379533000 is 335973.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7160974 + ... + 7161026.

It is an arithmetic number, because the mean of its divisors is an integer number (3032640).

Almost surely, 2^379533000 is an apocalyptic number.

379533000 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 379533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776355840).

379533000 is an abundant number, since it is smaller than the sum of its proper divisors (1173178680).

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

379533000 is a wasteful number, since it uses less digits than its factorization.

379533000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 30.

The square root of 379533000 is about 19481.6067099200. The cubic root of 379533000 is about 724.0188074436.

Adding to 379533000 its reverse (335973), we get a palindrome (379868973).

The spelling of 379533000 in words is "three hundred seventy-nine million, five hundred thirty-three thousand".