407199648 has 24 divisors (see below), whose sum is σ = 1068899328. Its totient is φ = 135733184.

The previous prime is 407199647. The next prime is 407199649. The reversal of 407199648 is 846991704.

It is an interprime number because it is at equal distance from previous prime (407199647) and next prime (407199649).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 407199597 and 407199606.

It is not an unprimeable number, because it can be changed into a prime (407199641) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2120736 + ... + 2120927.

It is an arithmetic number, because the mean of its divisors is an integer number (44537472).

Almost surely, 2^407199648 is an apocalyptic number.

407199648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

407199648 is an abundant number, since it is smaller than the sum of its proper divisors (661699680).

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

407199648 is a wasteful number, since it uses less digits than its factorization.

407199648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241676 (or 4241668 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 407199648 is about 20179.1884871518. The cubic root of 407199648 is about 741.2006610337.

The spelling of 407199648 in words is "four hundred seven million, one hundred ninety-nine thousand, six hundred forty-eight".