479073504 has 384 divisors, whose sum is σ = 1679892480. Its totient is φ = 116121600.

The previous prime is 479073461. The next prime is 479073547. The reversal of 479073504 is 405370974.

It is an interprime number because it is at equal distance from previous prime (479073461) and next prime (479073547).

It is a super-2 number, since 2×479073504² = 459022844469676032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7853634 + ... + 7853694.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^479073504 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 479073504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839946240).

479073504 is an abundant number, since it is smaller than the sum of its proper divisors (1200818976).

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

479073504 is a wasteful number, since it uses less digits than its factorization.

479073504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 479073504 is about 21887.7478055646. The cubic root of 479073504 is about 782.4694385952.

The spelling of 479073504 in words is "four hundred seventy-nine million, seventy-three thousand, five hundred four".