407059968 has 240 divisors, whose sum is σ = 1326593664. Its totient is φ = 108625920.

The previous prime is 407059949. The next prime is 407060011. The reversal of 407059968 is 869950704.

It is a super-2 number, since 2×407059968² = 331395635096322048, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3107263 + ... + 3107393.

Almost surely, 2^407059968 is an apocalyptic number.

407059968 is a gapful number since it is divisible by the number (48) 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 407059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663296832).

407059968 is an abundant number, since it is smaller than the sum of its proper divisors (919533696).

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

407059968 is a wasteful number, since it uses less digits than its factorization.

407059968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 407059968 is about 20175.7271987901. The cubic root of 407059968 is about 741.1159010157.

The spelling of 407059968 in words is "four hundred seven million, fifty-nine thousand, nine hundred sixty-eight".