1464960240 has 240 divisors, whose sum is σ = 5104339968. Its totient is φ = 376233984.

The previous prime is 1464960221. The next prime is 1464960247. The reversal of 1464960240 is 420694641.

1464960240 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 9 + 602 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1464960240² = 4292217009561715200, which contains 22 as substring.

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 = 1464960195 and 1464960204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464960247) 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, 3383064 + ... + 3383496.

Almost surely, 2^1464960240 is an apocalyptic number.

1464960240 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 1464960240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552169984).

1464960240 is an abundant number, since it is smaller than the sum of its proper divisors (3639379728).

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

1464960240 is a wasteful number, since it uses less digits than its factorization.

1464960240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1464960240 is about 38274.7990197205. The cubic root of 1464960240 is about 1135.7304748069.

The spelling of 1464960240 in words is "one billion, four hundred sixty-four million, nine hundred sixty thousand, two hundred forty".