1456787970 has 384 divisors, whose sum is σ = 4702199040. Its totient is φ = 319334400.

The previous prime is 1456787963. The next prime is 1456788017. The reversal of 1456787970 is 797876541.

1456787970 is a `hidden beast` number, since 1 + 4 + 567 + 8 + 7 + 9 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23881740 + ... + 23881800.

It is an arithmetic number, because the mean of its divisors is an integer number (12245310).

Almost surely, 2^1456787970 is an apocalyptic number.

1456787970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456787970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351099520).

1456787970 is an abundant number, since it is smaller than the sum of its proper divisors (3245411070).

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

1456787970 is a wasteful number, since it uses less digits than its factorization.

1456787970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 1456787970 is about 38167.8918726198. The cubic root of 1456787970 is about 1133.6146474871.

The spelling of 1456787970 in words is "one billion, four hundred fifty-six million, seven hundred eighty-seven thousand, nine hundred seventy".