1505980 has 48 divisors (see below), whose sum is σ = 3741696. Its totient is φ = 498240.

The previous prime is 1505953. The next prime is 1505983. The reversal of 1505980 is 895051.

1505980 = T₇₁ + T₇₂ + ... + T₂₁₀.

1505980 is a nontrivial binomial coefficient, being equal to C(1736, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4167 + ... + 4513.

It is an arithmetic number, because the mean of its divisors is an integer number (77952).

2^1505980 is an apocalyptic number.

1505980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1505980 is the 1735-th triangular number and also the 868-th hexagonal number.

1505980 is the 579-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1505980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870848).

1505980 is an abundant number, since it is smaller than the sum of its proper divisors (2235716).

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

1505980 is a wasteful number, since it uses less digits than its factorization.

1505980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 1505980 is about 1227.1837678196. The cubic root of 1505980 is about 114.6233423553.

It can be divided in two parts, 1505 and 980, that added together give a triangular number (2485 = T₇₀).

The spelling of 1505980 in words is "one million, five hundred five thousand, nine hundred eighty".