1355437980 has 144 divisors (see below), whose sum is σ = 4463606784. Its totient is φ = 330946560.

The previous prime is 1355437969. The next prime is 1355437981. The reversal of 1355437980 is 897345531.

1355437980 is a `hidden beast` number, since 1 + 3 + 554 + 3 + 7 + 98 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355437981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294900 + ... + 299460.

Almost surely, 2^1355437980 is an apocalyptic number.

1355437980 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 1355437980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231803392).

1355437980 is an abundant number, since it is smaller than the sum of its proper divisors (3108168804).

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

1355437980 is a wasteful number, since it uses less digits than its factorization.

1355437980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1355437980 is about 36816.2733040703. The cubic root of 1355437980 is about 1106.6914384949.

The spelling of 1355437980 in words is "one billion, three hundred fifty-five million, four hundred thirty-seven thousand, nine hundred eighty".