467879040 has 192 divisors, whose sum is σ = 1671953400. Its totient is φ = 120422400.

The previous prime is 467879039. The next prime is 467879053. The reversal of 467879040 is 40978764.

It can be written as a sum of positive squares in 4 ways, for example, as 380718144 + 87160896 = 19512^2 + 9336^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 165640 + ... + 168440.

Almost surely, 2^467879040 is an apocalyptic number.

467879040 is a gapful number since it is divisible by the number (40) 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 467879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835976700).

467879040 is an abundant number, since it is smaller than the sum of its proper divisors (1204074360).

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

467879040 is a wasteful number, since it uses less digits than its factorization.

467879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 467879040 is about 21630.5117831271. The cubic root of 467879040 is about 776.3267126066.

The spelling of 467879040 in words is "four hundred sixty-seven million, eight hundred seventy-nine thousand, forty".