407350944 has 480 divisors, whose sum is σ = 1618759296. Its totient is φ = 97044480.

The previous prime is 407350921. The next prime is 407350961. The reversal of 407350944 is 449053704.

407350944 is a `hidden beast` number, since 40 + 73 + 509 + 44 = 666.

It is a super-2 number, since 2×407350944² = 331869583155382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 407350899 and 407350908.

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 79 ways as a sum of consecutive naturals, for example, 2594514 + ... + 2594670.

Almost surely, 2^407350944 is an apocalyptic number.

407350944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407350944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809379648).

407350944 is an abundant number, since it is smaller than the sum of its proper divisors (1211408352).

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

407350944 is a wasteful number, since it uses less digits than its factorization.

407350944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 407350944 is about 20182.9369517917. The cubic root of 407350944 is about 741.2924479577.

The spelling of 407350944 in words is "four hundred seven million, three hundred fifty thousand, nine hundred forty-four".