1964973407 has 16 divisors (see below), whose sum is σ = 2206828800. Its totient is φ = 1738638720.

The previous prime is 1964973401. The next prime is 1964973433. The reversal of 1964973407 is 7043794691.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1964973407 - 2²² = 1960779103 is a prime.

It is a super-2 number, since 2×1964973407² = 7722240980434375298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964973401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19094 + ... + 65532.

It is an arithmetic number, because the mean of its divisors is an integer number (137926800).

Almost surely, 2^1964973407 is an apocalyptic number.

1964973407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1964973407 is a deficient number, since it is larger than the sum of its proper divisors (241855393).

1964973407 is a wasteful number, since it uses less digits than its factorization.

1964973407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46606.

The product of its (nonzero) digits is 1143072, while the sum is 50.

The square root of 1964973407 is about 44328.0205626193. The cubic root of 1964973407 is about 1252.5225660639.

The spelling of 1964973407 in words is "one billion, nine hundred sixty-four million, nine hundred seventy-three thousand, four hundred seven".