1007431464 has 256 divisors, whose sum is σ = 3019161600. Its totient is φ = 277466112.

The previous prime is 1007431393. The next prime is 1007431483. The reversal of 1007431464 is 4641347001.

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 63 ways as a sum of consecutive naturals, for example, 9780837 + ... + 9780939.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^1007431464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007431464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509580800).

1007431464 is an abundant number, since it is smaller than the sum of its proper divisors (2011730136).

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

1007431464 is a wasteful number, since it uses less digits than its factorization.

1007431464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1007431464 is about 31740.0608695069. The cubic root of 1007431464 is about 1002.4710435808.

Adding to 1007431464 its reverse (4641347001), we get a palindrome (5648778465).

The spelling of 1007431464 in words is "one billion, seven million, four hundred thirty-one thousand, four hundred sixty-four".