1955764440 has 480 divisors, whose sum is σ = 7786437120. Its totient is φ = 438939648.

The previous prime is 1955764429. The next prime is 1955764469. The reversal of 1955764440 is 444675591.

1955764440 is a `hidden beast` number, since 19 + 557 + 6 + 44 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15399657 + ... + 15399783.

It is an arithmetic number, because the mean of its divisors is an integer number (16221744).

Almost surely, 2^1955764440 is an apocalyptic number.

1955764440 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 1955764440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893218560).

1955764440 is an abundant number, since it is smaller than the sum of its proper divisors (5830672680).

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

1955764440 is a wasteful number, since it uses less digits than its factorization.

1955764440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1955764440 is about 44224.0255969535. The cubic root of 1955764440 is about 1250.5628270758.

The spelling of 1955764440 in words is "one billion, nine hundred fifty-five million, seven hundred sixty-four thousand, four hundred forty".