1905150720 has 576 divisors, whose sum is σ = 7247729664. Its totient is φ = 421724160.

The previous prime is 1905150707. The next prime is 1905150761. The reversal of 1905150720 is 270515091.

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

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, 35946214 + ... + 35946266.

It is an arithmetic number, because the mean of its divisors is an integer number (12582864).

Almost surely, 2^1905150720 is an apocalyptic number.

1905150720 is a gapful number since it is divisible by the number (10) 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 1905150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623864832).

1905150720 is an abundant number, since it is smaller than the sum of its proper divisors (5342578944).

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

1905150720 is a wasteful number, since it uses less digits than its factorization.

1905150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 1905150720 is about 43648.0322580526. The cubic root of 1905150720 is about 1239.6805281740.

The spelling of 1905150720 in words is "one billion, nine hundred five million, one hundred fifty thousand, seven hundred twenty".