1463745264 has 160 divisors (see below), whose sum is σ = 4010368320. Its totient is φ = 459571200.

The previous prime is 1463745209. The next prime is 1463745293. The reversal of 1463745264 is 4625473641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10684204 + ... + 10684340.

It is an arithmetic number, because the mean of its divisors is an integer number (25064802).

Almost surely, 2^1463745264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463745264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005184160).

1463745264 is an abundant number, since it is smaller than the sum of its proper divisors (2546623056).

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

1463745264 is a wasteful number, since it uses less digits than its factorization.

1463745264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 1463745264 is about 38258.9239785962. The cubic root of 1463745264 is about 1135.4164123771.

The spelling of 1463745264 in words is "one billion, four hundred sixty-three million, seven hundred forty-five thousand, two hundred sixty-four".