1462970040 has 128 divisors (see below), whose sum is σ = 5024540160. Its totient is φ = 333817344.

The previous prime is 1462970021. The next prime is 1462970051. The reversal of 1462970040 is 400792641.

It is a happy number.

1462970040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1462969983 and 1462970010.

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, 659974 + ... + 662186.

It is an arithmetic number, because the mean of its divisors is an integer number (39254220).

Almost surely, 2^1462970040 is an apocalyptic number.

1462970040 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 1462970040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512270080).

1462970040 is an abundant number, since it is smaller than the sum of its proper divisors (3561570120).

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

1462970040 is a wasteful number, since it uses less digits than its factorization.

1462970040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1462970040 is about 38248.7913534532. The cubic root of 1462970040 is about 1135.2159317993.

The spelling of 1462970040 in words is "one billion, four hundred sixty-two million, nine hundred seventy thousand, forty".