350209440 has 384 divisors, whose sum is σ = 1443294720. Its totient is φ = 77635584.

The previous prime is 350209439. The next prime is 350209441. The reversal of 350209440 is 44902053.

It is an interprime number because it is at equal distance from previous prime (350209439) and next prime (350209441).

It is a super-2 number, since 2×350209440² = 245293303730227200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (350209441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1118724 + ... + 1119036.

It is an arithmetic number, because the mean of its divisors is an integer number (3758580).

Almost surely, 2^350209440 is an apocalyptic number.

350209440 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 350209440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721647360).

350209440 is an abundant number, since it is smaller than the sum of its proper divisors (1093085280).

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

350209440 is a wasteful number, since it uses less digits than its factorization.

350209440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 350209440 is about 18713.8836161819. The cubic root of 350209440 is about 704.8704152955.

The spelling of 350209440 in words is "three hundred fifty million, two hundred nine thousand, four hundred forty".