307419840 has 896 divisors, whose sum is σ = 1474744320. Its totient is φ = 58392576.

The previous prime is 307419821. The next prime is 307419851. The reversal of 307419840 is 48914703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 307419795 and 307419804.

It is a congruent number.

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, 13366069 + ... + 13366091.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2^307419840 is an apocalyptic number.

307419840 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 307419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

307419840 is an abundant number, since it is smaller than the sum of its proper divisors (1167324480).

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

307419840 is a wasteful number, since it uses less digits than its factorization.

307419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 307419840 is about 17533.3921418532. The cubic root of 307419840 is about 674.9070489291.

The spelling of 307419840 in words is "three hundred seven million, four hundred nineteen thousand, eight hundred forty".