1463495040 has 640 divisors, whose sum is σ = 6190747200. Its totient is φ = 322486272.

The previous prime is 1463495029. The next prime is 1463495053. The reversal of 1463495040 is 405943641.

1463495040 is a `hidden beast` number, since 14 + 634 + 9 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1463494986 and 1463495004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13426506 + ... + 13426614.

Almost surely, 2^1463495040 is an apocalyptic number.

1463495040 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 1463495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095373600).

1463495040 is an abundant number, since it is smaller than the sum of its proper divisors (4727252160).

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

1463495040 is a wasteful number, since it uses less digits than its factorization.

1463495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1463495040 is about 38255.6536998128. The cubic root of 1463495040 is about 1135.3517097192.

The spelling of 1463495040 in words is "one billion, four hundred sixty-three million, four hundred ninety-five thousand, forty".