537780408 has 128 divisors (see below), whose sum is σ = 1597536000. Its totient is φ = 149022720.

The previous prime is 537780377. The next prime is 537780443. The reversal of 537780408 is 804087735.

It is a self number, because there is not a number n which added to its sum of digits gives 537780408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143616 + ... + 147312.

It is an arithmetic number, because the mean of its divisors is an integer number (12480750).

Almost surely, 2^537780408 is an apocalyptic number.

537780408 is a gapful number since it is divisible by the number (58) 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 537780408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798768000).

537780408 is an abundant number, since it is smaller than the sum of its proper divisors (1059755592).

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

537780408 is a wasteful number, since it uses less digits than its factorization.

537780408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 537780408 is about 23190.0928846781. The cubic root of 537780408 is about 813.2080306535.

The spelling of 537780408 in words is "five hundred thirty-seven million, seven hundred eighty thousand, four hundred eight".