303977940 has 192 divisors, whose sum is σ = 1032880128. Its totient is φ = 65318400.

The previous prime is 303977923. The next prime is 303978011. The reversal of 303977940 is 49779303.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 303977892 and 303977901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481425 + ... + 482055.

It is an arithmetic number, because the mean of its divisors is an integer number (5379584).

Almost surely, 2^303977940 is an apocalyptic number.

303977940 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 303977940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516440064).

303977940 is an abundant number, since it is smaller than the sum of its proper divisors (728902188).

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

303977940 is a wasteful number, since it uses less digits than its factorization.

303977940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 42.

The square root of 303977940 is about 17434.9631487996. The cubic root of 303977940 is about 672.3788166731.

The spelling of 303977940 in words is "three hundred three million, nine hundred seventy-seven thousand, nine hundred forty".