1947464640 has 448 divisors, whose sum is σ = 7748259840. Its totient is φ = 456192000.

The previous prime is 1947464627. The next prime is 1947464657. The reversal of 1947464640 is 464647491.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2945910 + ... + 2946570.

Almost surely, 2^1947464640 is an apocalyptic number.

1947464640 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 1947464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874129920).

1947464640 is an abundant number, since it is smaller than the sum of its proper divisors (5800795200).

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

1947464640 is a wasteful number, since it uses less digits than its factorization.

1947464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 1947464640 is about 44130.0876953581. The cubic root of 1947464640 is about 1248.7912881225.

The spelling of 1947464640 in words is "one billion, nine hundred forty-seven million, four hundred sixty-four thousand, six hundred forty".