407949696 has 480 divisors, whose sum is σ = 1561756680. Its totient is φ = 104509440.

The previous prime is 407949691. The next prime is 407949791. The reversal of 407949696 is 696949704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407949691) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5588316 + ... + 5588388.

Almost surely, 2^407949696 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 407949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780878340).

407949696 is an abundant number, since it is smaller than the sum of its proper divisors (1153806984).

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

407949696 is a wasteful number, since it uses less digits than its factorization.

407949696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 407949696 is about 20197.7646287900. The cubic root of 407949696 is about 741.6554707620.

The spelling of 407949696 in words is "four hundred seven million, nine hundred forty-nine thousand, six hundred ninety-six".