46003680 has 192 divisors, whose sum is σ = 168376320. Its totient is φ = 11708928.

The previous prime is 46003627. The next prime is 46003709. The reversal of 46003680 is 8630064.

46003680 = 84³ + 85³ + ... + 123³.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99129 + ... + 99591.

It is an arithmetic number, because the mean of its divisors is an integer number (876960).

Almost surely, 2^46003680 is an apocalyptic number.

46003680 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 46003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84188160).

46003680 is an abundant number, since it is smaller than the sum of its proper divisors (122372640).

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

46003680 is a wasteful number, since it uses less digits than its factorization.

46003680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46003680 is about 6782.6012708989. The cubic root of 46003680 is about 358.3143416411.

The spelling of 46003680 in words is "forty-six million, three thousand, six hundred eighty".